Jian-guo Liu
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Mathematics
Jian-guo Liu's Degrees
- PhD Mathematics University of California, Berkeley
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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(Suggest an Edit or Addition)Jian-guo Liu's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit (2009) (472)
- A coupled chemotaxis-fluid model: Global existence (2011) (245)
- Vorticity Boundary Condition and Related Issues for Finite Difference Schemes (1996) (241)
- Well-posedness for Hall-magnetohydrodynamics (2012) (221)
- Projection method I: convergence and numerical boundary layers (1995) (217)
- Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system (2011) (208)
- Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term (2004) (192)
- Diversity of exact solutions to a (3+1)-dimensional nonlinear evolution equation and its reduction (2018) (163)
- Thin film epitaxy with or without slope selection (2003) (131)
- A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows (2000) (131)
- An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations (2012) (129)
- On the diffusion approximation of nonconvex stochastic gradient descent (2017) (123)
- Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev–Petviashvili equation (2018) (93)
- Macroscopic Limits and Phase Transition in a System of Self-propelled Particles (2011) (93)
- Abundant lump and lump–kink solutions for the new (3+1)-dimensional generalized Kadomtsev–Petviashvili equation (2018) (89)
- Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis (2003) (87)
- Finite Difference Schemes for Incompressible Flow Based on Local Pressure Boundary Conditions (2002) (86)
- The Effects of Numerical Viscosities (1996) (85)
- Accurate Evaluation of Electrostatics for Macromolecules in Solution (2003) (85)
- A variety of nonautonomous complex wave solutions for the (2+1)-dimensional nonlinear Schrödinger equation with variable coefficients in nonlinear optical fibers (2019) (84)
- Convergence of vortex methods for weak solutions to the 2‐D euler equations with vortex sheet data (1995) (83)
- Random Batch Methods (RBM) for interacting particle systems (2018) (81)
- Phase Transitions, Hysteresis, and Hyperbolicity for Self-Organized Alignment Dynamics (2013) (79)
- Hyperbolic Problems: Theory, Numerics and Applications (2009) (78)
- Different complex wave structures described by the Hirota equation with variable coefficients in inhomogeneous optical fibers (2019) (77)
- Dynamics in a Kinetic Model of Oriented Particles with Phase Transition (2011) (75)
- Stable and accurate pressure approximation for unsteady incompressible viscous flow (2010) (74)
- An explicit plethora of different classes of interactive lump solutions for an extension form of 3D-Jimbo–Miwa model (2020) (73)
- A Fourth Order Scheme for Incompressible Boussinesq Equations (2003) (73)
- A Note on Aubin-Lions-Dubinskiĭ Lemmas (2013) (73)
- Convergence of gauge method for incompressible flow (2000) (71)
- HYDRODYNAMIC MODELS OF SELF-ORGANIZED DYNAMICS: DERIVATION AND EXISTENCE THEORY ∗ (2011) (70)
- Different wave structures and stability analysis for the generalized (2+1)-dimensional Camassa–Holm–Kadomtsev–Petviashvili equation (2020) (69)
- New three-wave solutions for the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation (2017) (69)
- Epitaxial Growth Without Slope Selection: Energetics, Coarsening, and Dynamic Scaling (2004) (67)
- Cauchy problems for Keller–Segel type time–space fractional diffusion equation (2017) (66)
- Energy and helicity preserving schemes for hydro- and magnetohydro-dynamics flows with symmetry (2004) (65)
- Dynamic and Steady States for Multi-Dimensional Keller-Segel Model with Diffusion Exponent m > 0 (2013) (64)
- Stability and convergence of efficient Navier‐Stokes solvers via a commutator estimate (2007) (63)
- Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit (2009) (63)
- A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs (2016) (63)
- Large-Scale Dynamics of Mean-Field Games Driven by Local Nash Equilibria (2014) (56)
- Application of Fuzzy Neural Network for Real Estate Prediction (2006) (55)
- Macroscopic Fluid Models with Localized Kinetic Upscaling Effects (2006) (55)
- Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation (2002) (55)
- Characterization and Regularity for Axisymmetric Solenoidal Vector Fields with Application to Navier-Stokes Equation (2009) (53)
- Some Compactness Criteria for Weak Solutions of Time Fractional PDEs (2017) (51)
- Multiple soliton solutions for the new (2+1)-dimensional Korteweg-de Vries equation by multiple exp-function method (2018) (51)
- Convergence Analysis of the Energy and Helicity Preserving Scheme for Axisymmetric Flows (2006) (50)
- Finite Difference Methods for 3D Viscous Incompressible Flows in the Vorticity-Vector Potential Formulation on Nonstaggered Grids (1997) (49)
- Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations (2016) (49)
- Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method (2017) (48)
- Analysis of an Asymptotic Preserving Scheme for the Euler-Poisson System in the Quasineutral Limit (2008) (48)
- Analysis of a fourth order finite difference method for the incompressible Boussinesq equations (2004) (47)
- Projection Method II: Godunov--Ryabenki Analysis (1996) (47)
- Variations in Uptake and Translocation of Copper, Chromium and Nickel Among Nineteen Wetland Plant Species (2010) (46)
- Evolution of the Distribution of Wealth in an Economic Environment Driven by Local Nash Equilibria (2013) (45)
- New non-traveling wave solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation (2018) (44)
- Multidimensional Degenerate Keller-Segel System with Critical Diffusion Exponent 2n/(n+2) (2012) (44)
- Projection method III: Spatial discretization on the staggered grid (2002) (43)
- Finite Difference Schemes for Incompressible Flows in the Velocity-Impulse Density Formulation (1997) (42)
- An energy-preserving MAC-Yee scheme for the incompressible MHD equation (2001) (41)
- Lump-type solutions and interaction solutions for the (2+1)-dimensional generalized fifth-order KdV equation (2018) (41)
- New periodic solitary wave solutions for the (3+1)-dimensional generalized shallow water equation (2017) (40)
- Boundary-layer separation and adverse pressure gradient for 2-D viscous incompressible flow (2004) (40)
- Boundary-layer behavior in the fluid-dynamic limit for a nonlinear model Boltzmann equation (1996) (38)
- The Reconstruction of Upwind Fluxes for Conservation Laws (1998) (38)
- Convergence of the point vortex method for 2-D vortex sheet (2001) (36)
- Convergence of a Particle Method and Global Weak Solutions of a Family of Evolutionary PDEs (2012) (36)
- Breather wave solutions for the generalized shallow water wave equation with variable coefficients in the atmosphere, rivers, lakes and oceans (2019) (36)
- New exact periodic solitary-wave solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in multi-temperature electron plasmas (2017) (33)
- Multiple-soliton solutions, soliton-type solutions and rational solutions for the $$\varvec{(3+1)}$$(3+1)-dimensional generalized shallow water equation in oceans, estuaries and impoundments (2016) (33)
- A stochastic version of Stein Variational Gradient Descent for efficient sampling (2019) (33)
- Multiple rogue wave, breather wave and interaction solutions of a generalized (3 + 1)-dimensional variable-coefficient nonlinear wave equation (2021) (33)
- Large oscillations arising in a dispersive numerical scheme (1996) (31)
- ON GENERATING FUNCTIONS OF HAUSDORFF MOMENT SEQUENCES (2014) (30)
- Well-posedness for the Keller-Segel equation with fractional Laplacian and the theory of propagation of chaos (2016) (30)
- Evolution of wealth in a non-conservative economy driven by local Nash equilibria (2014) (30)
- Simple finite element method in vorticity formulation for incompressible flows (2001) (30)
- Multi-wave, breather wave and lump solutions of the Boiti–Leon–Manna–Pempinelli equation with variable coefficients (2019) (30)
- Positivity property of second-order flux-splitting schemes for the compressible Euler equations (2003) (29)
- Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions (1999) (29)
- Existence Theorems for a Multidimensional Crystal Surface Model (2016) (28)
- The dynamical behavior of mixed type lump solutions on the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq equation (2020) (28)
- Stable discretization of magnetohydrodynamics in bounded domains (2010) (28)
- Fractional Stochastic Differential Equations Satisfying Fluctuation-Dissipation Theorem (2016) (28)
- New periodic solitary wave solutions for the new (2+1)-dimensional Korteweg–de Vries equation (2017) (28)
- Meanfield games and model predictive control (2014) (28)
- The general bilinear techniques for studying the propagation of mixed-type periodic and lump-type solutions in a homogenous-dispersive medium (2020) (28)
- Semigroups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations (2017) (27)
- L^1 stability of stationary discrete shocks (1993) (27)
- Breather wave and lump‐type solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation in incompressible fluid (2020) (26)
- Breather wave solutions for the Kadomtsev‐Petviashvili equation with variable coefficients in a fluid based on the variable‐coefficient three‐wave approach (2019) (26)
- A random particle blob method for the Keller-Segel equation and convergence analysis (2016) (26)
- Convergence of Random Batch Method for interacting particles with disparate species and weights (2020) (25)
- Ultra-contractivity for Keller-Segel model with diffusion exponent $m>1-2/d$ (2013) (25)
- Concepts and Application of Time-Limiters to High Resolution Schemes (2003) (25)
- Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization (2007) (24)
- Propagation of chaos for large Brownian particle system with Coulomb interaction (2016) (24)
- Error estimate of a random particle blob method for the Keller-Segel equation (2017) (24)
- Multiple periodic-soliton solutions of the $$(3+1)$$(3+1)-dimensional generalised shallow water equation (2018) (23)
- Stripe solitons and lump solutions for a generalized Kadomtsev–Petviashvili equation with variable coefficients in fluid mechanics (2019) (23)
- Exact periodic cross-kink wave solutions for the new (2+1)-dimensional KdV equation in fluid flows and plasma physics. (2016) (22)
- Blow-up, Zero α Limit and the Liouville Type Theorem for the Euler-Poincaré Equations (2011) (22)
- An accurate front capturing scheme for tumor growth models with a free boundary limit (2017) (21)
- Multi-waves, breather wave and lump–stripe interaction solutions in a (2 $$+$$ 1)-dimensional variable-coefficient Korteweg–de Vries equation (2019) (21)
- Asymptotic‐preserving schemes for kinetic–fluid modeling of disperse two‐phase flows with variable fluid density (2013) (21)
- Multiple soliton solutions, soliton-type solutions and rational solutions for the (3+1)-dimensional potential-YTSF equation (2014) (21)
- Global weak entropy solution to Doi–Saintillan–Shelley model for active and passive rod-like and ellipsoidal particle suspensions (2013) (21)
- Double-periodic soliton solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation in incompressible fluid (2018) (21)
- On the mean field limit for Brownian particles with Coulomb interaction in 3D (2018) (21)
- HYDRODYNAMICS OF SELF-ALIGNMENT INTERACTIONS WITH PRECESSION AND DERIVATION OF THE LANDAU–LIFSCHITZ–GILBERT EQUATION (2011) (20)
- Elastic collisions among peakon solutions for the Camassa-Holm equation (2015) (20)
- Global stability for solutions to the exponential PDE describing epitaxial growth (2018) (20)
- Uniform-in-Time Weak Error Analysis for Stochastic Gradient Descent Algorithms via Diffusion Approximation (2019) (19)
- Multi-wave, breather wave, and interaction solutions of the Hirota–Satsuma–Ito equation (2020) (19)
- Exact solitary wave solutions to the (2 + 1)-dimensional generalised Camassa–Holm–Kadomtsev–Petviashvili equation (2020) (19)
- A degenerate $p$-Laplacian Keller-Segel model (2016) (19)
- Partial regularity of weak solutions to a PDE system with cubic nonlinearity (2016) (19)
- Gauge finite element method for incompressible flows (2000) (18)
- Nonlinear dynamics for different nonautonomous wave structures solutions of a 3D variable-coefficient generalized shallow water wave equation (2021) (18)
- Characteristics of lump solutions to a (3 + 1)-dimensional variable-coefficient generalized shallow water wave equation in oceanography and atmospheric science (2019) (18)
- On the Mean-Field Limit for the Vlasov–Poisson–Fokker–Planck System (2018) (18)
- Interaction behaviors for the ($$\varvec{2+1}$$2+1)-dimensional Sawada–Kotera equation (2018) (18)
- Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients (2019) (18)
- Abundant lump-type solutions for the extended (3+1)-dimensional Jimbo–Miwa equation (2021) (18)
- Lump-type solutions and interaction solutions for the (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation (2019) (18)
- Gradient flow approach to an exponential thin film equation: global existence and latent singularity (2017) (18)
- The solitary wave, rogue wave and periodic solutions for the ($$3+1$$3+1)-dimensional soliton equation (2018) (17)
- Exact periodic cross-kink wave solutions for the (2+1)-dimensional Korteweg-de Vries equation (2020) (17)
- Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation (2020) (17)
- Multiple rogue wave solutions for (2+1)-dimensional Boussinesq equation (2019) (17)
- Royal Swedish Academy of Sciences (1990) (17)
- Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model (2017) (17)
- Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces (2016) (17)
- Some Exact Solutions and Conservation Laws of the Coupled Time-Fractional Boussinesq-Burgers System (2019) (16)
- Study on dynamical behavior of multiple lump solutions and interaction between solitons and lump wave (2021) (16)
- Connection between corner vortices and shear layer instability in flow past an ellipse (1999) (16)
- Oscillations Arising in Numerical Experiments (1994) (16)
- Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime (2016) (16)
- A Note on L∞$L^{\infty}$-Bound and Uniqueness to a Degenerate Keller-Segel Model (2016) (16)
- MACH-NUMBER UNIFORM ASYMPTOTIC-PRESERVING GAUGE SCHEMES FOR COMPRESSIBLE FLOWS (2007) (15)
- Analyses toward factors influencing sealing clearance of a metal rubber seal and derivation of a calculation formula (2016) (15)
- Online learning in optical tomography: a stochastic approach (2017) (15)
- Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions (2009) (15)
- Various exact analytical solutions of a variable-coefficient Kadomtsev–Petviashvili equation (2020) (15)
- A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: numerical analysis and exploration (2019) (15)
- Analysis of a sequential regularization method for the unsteady Navier-Stokes equations (2008) (15)
- A Fourth Order Numerical Method for the Primitive Equations Formulated in Mean Vorticity (2008) (15)
- Data clustering based on Langevin annealing with a self-consistent potential (2018) (14)
- The modified Camassa-Holm equation in Lagrangian coordinates (2017) (14)
- A Class of Exact Solution of (3+1)-Dimensional Generalized Shallow Water Equation System (2015) (13)
- Continuum dynamics of the intention field under weakly cohesive social interactions (2016) (13)
- Macroscopic models of collective motion and self-organization (2013) (13)
- High order finite difference methods for unsteady incompressible flows in multi-connected domains (2004) (13)
- Analytical Validation of a Continuum Model for the Evolution of a Crystal Surface in Multiple Space Dimensions (2016) (13)
- A direct simulation approach for the Poisson-Boltzmann equation using the Random Batch Method (2020) (13)
- Convergence of difference schemes with high resolution for conservation laws (1997) (13)
- Well-Posedness and Singular Limit of a Semilinear Hyperbolic Relaxation System with a Two-Scale Discontinuous Relaxation Rate (2014) (13)
- A Generalized MAC Scheme on Curvilinear Domains (2013) (12)
- A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations (2012) (12)
- Learning interacting particle systems: Diffusion parameter estimation for aggregation equations (2018) (12)
- Refined hyper-contractivity and uniqueness for the Keller-Segel equations (2016) (12)
- Relaxation and diffusion enhanced dispersive waves (1994) (12)
- Two nonlinear compactness theorems in Lp(0, T;B) (2012) (12)
- A Note on the Subcritical Two Dimensional Keller-Segel System (2012) (11)
- Rigorous Justification of the Fokker-Planck Equations of Neural Networks Based on an Iteration Perspective (2020) (11)
- Large time behaviors of upwind schemes and B-schemes for Fokker-Planck equations on ℝ by jump processes (2020) (11)
- Analysis and computation of some tumor growth models with nutrient: From cell density models to free boundary dynamics (2018) (11)
- Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects (2019) (11)
- Stripe solitons and lump solutions to a generalized (3 + 1)-dimensional B-type Kadomtsev-Petviashvili equation with variable coefficients in fluid dynamics (2019) (11)
- Collisions between lump and soliton solutions (2019) (11)
- Least action principles for incompressible flows and geodesics between shapes (2016) (10)
- Existence and Incompressible Limit of a Tissue Growth Model with Autophagy (2021) (10)
- A note on deconvolution with completely monotone sequences and discrete fractional calculus (2017) (10)
- Revisit of Macroscopic Dynamics for Some Non-equilibrium Chemical Reactions from a Hamiltonian Viewpoint (2021) (10)
- Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface (2017) (10)
- Extended Generalized Hyperbolic-function Method and New Exact Solutions of the Generalized Hamiltonian and NNV Equations by the Symbolic Computation (2014) (10)
- Interaction Solutions for Kadomtsev-Petviashvili Equation with Variable Coefficients (2019) (10)
- New Double-Periodic Soliton Solutions for the (2+1)-Dimensional Breaking Soliton Equation (2018) (10)
- A note on parametric Bayesian inference via gradient flows (2020) (10)
- A Local Pressure Boundary Condition Spectral Collocation Scheme for the Three-Dimensional Navier–Stokes Equations (2014) (10)
- Complete-Q Model for Poro-Viscoelastic Media in Subsurface Sensing: Large-Scale Simulation With an Adaptive DG Algorithm (2019) (9)
- Soliton-like solutions for the modified variable-coefficient Ginzburg–Landau equation (2009) (9)
- Long-Time Dynamics for a Simple Aggregation Equation on the Sphere (2017) (9)
- On the rate of convergence of empirical measure in $\infty $-Wasserstein distance for unbounded density function (2018) (9)
- Explicit and Implicit TVD Schemes for Conservation Laws with Caputo Derivatives (2016) (9)
- Convergence of a Galerkin method for 2‐D discontinuous Euler flows (2000) (9)
- Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions. (2014) (9)
- Web usage mining for electronic business applications (2004) (9)
- Flow on Sweeping Networks (2013) (9)
- A Discretization of Caputo Derivatives with Application to Time Fractional SDEs and Gradient Flows (2019) (9)
- On a Schrödinger-Landau-Lifshitz System: Variational Structure and Numerical Methods (2016) (9)
- An Exact Solution for Stokes Flow in a Channel with Arbitrarily Large Wall Permeability (2014) (8)
- Long Time Numerical Solution of the Navier--Stokes Equations Based on a Sequential Regularization Formulation (2008) (8)
- A note on one-dimensional time fractional ODEs (2017) (8)
- Solving (3 + 1)-dimensional generalized BKP equations by the improved (G'/G)-expansion method (2015) (8)
- Convergence Analysis of the Particle Method for the Camassa-Holm Equation (2012) (8)
- Interaction phenomena between lump and solitary wave of a generalized (3 + 1)-dimensional variable-coefficient nonlinear-wave equation in liquid with gas bubbles (2019) (8)
- Discrete-in-time random particle blob method for the Keller–Segel equation and convergence analysis (2017) (8)
- Global Convergence of a Sticky Particle Method for the Modified Camassa-Holm Equation (2017) (8)
- A generalized Sz. Nagy inequality in higher dimensions and the critical thin film equation (2016) (8)
- New optical soliton solutions for Fokas–Lenells dynamical equation via two various methods (2021) (8)
- Multiple rogue wave solutions for the generalized (2+1)-dimensional Camassa–Holm-Kadomtsev–Petviashvili equation (2019) (7)
- Auto-Bäcklund transformation and new exact solutions of the (3+1)-dimensional KP equation with variable coefficients (2013) (7)
- Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions (2020) (7)
- Least action principles for incompressible flows and optimal transport between shapes (2016) (7)
- Convergence of second-order schemes for isentropic gas dynamics (1993) (7)
- A Dispersive Regularization for the Modified Camassa-Holm Equation (2017) (7)
- Kinetic and viscous boundary layers for broadwell equations (1996) (7)
- Investigating the integrate and fire model as the limit of a random discharge model: a stochastic analysis perspective (2020) (7)
- DISCRETE ENTROPY AND MONOTONICITY CRITERIA FOR HYPERBOLIC CONSERVATION LAWS (1994) (7)
- Transformations and Soliton Solutions for a Variable-coefficient Nonlinear Schrödinger Equation in the Dispersion Decreasing Fiber with Symbolic Computation (2016) (7)
- Numerical Methods for Oscillatory Solutions to Hyperbolic Problems (1993) (7)
- Dynamics of stabilizer fins on the waterjet-propelled ship (2021) (6)
- Revisit of the Peierls-Nabarro model for edge dislocations in Hilbert space (2021) (6)
- Patched peakon weak solutions of the modified Camassa–Holm equation (2017) (6)
- Towards understanding the boundary propagation speeds in tumor growth models (2019) (6)
- Existence and rigidity of the vectorial Peierls–Nabarro model for dislocations in high dimensions (2020) (6)
- On Local Singularities in Ideal Potential Flows with Free Surface (2019) (6)
- Uniform $L^{∞}$ boundedness for a degenerate parabolic-parabolic Keller-Segel model (2016) (6)
- Large time behavior, bi-Hamiltonian structure, and kinetic formulation for a complex Burgers equation (2018) (6)
- Mixed type exact solutions to the (2+1)-dimensional Ito equation (2018) (6)
- Supercontinuum generation in seven-core photonic crystal fiber pumped by a broadband picosecond pulsed fiber amplifier (2017) (6)
- Propagation of chaos for the Keller–Segel equation with a logarithmic cut-off (2019) (6)
- Continuous and discrete one dimensional autonomous fractional ode (2017) (6)
- Well-posedness and derivative blow-up for a dispersionless regularized shallow water system (2018) (6)
- Dynamic and Steady States for Multi-Dimensional Keller-Segel Model with Diffusion Exponent m > 0 (2013) (5)
- Homogenization and Numerical Methods for Hyperbolic Equations (1990) (5)
- A selection principle for weak KAM solutions via Freidlin-Wentzell large deviation principle of invariant measures (2022) (5)
- Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev–Petviashvili equation (2018) (5)
- Analysis of a fourth-order exponential PDE arising from a crystal surface jump process with Metropolis-type transition rates (2020) (5)
- A novel radiation boundary condition for finite‐element method (2007) (5)
- A note on phase transitions for the Smoluchowski equation with dipolar potential (2012) (5)
- Analysis of Polymeric Flow Models and Related Compactness Theorems in Weighted Spaces (2013) (5)
- Auto-Bäcklund transformation and new exact solutions of the generalized variable-coefficients two-dimensional Korteweg–de Vries model (2007) (5)
- On Incompressible Navier-Stokes Dynamics: A New Approach for Analysis and Computation (2005) (5)
- A Nash equilibrium macroscopic closure for kinetic models coupled with Mean-Field Games (2012) (5)
- $p$-Euler equations and $p$-Navier-Stokes equations (2017) (5)
- Convergence analysis of the vortex blob method for the $b$-equation (2013) (5)
- Competitive Coevolutionary Genetic Algorithms for Multiobjective Optimization Problems (2009) (5)
- Thermodynamic limit of chemical master equation via nonlinear semigroup (2022) (5)
- Finite Di erence Methods for 3D Viscous Incompressible Flows in the Vorticity-Vector Potential Formulation on Non-staggered Grids (2000) (5)
- Nonlinear dynamics for different nonautonomous wave structures solutions of a (4+1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation in fluid mechanics (2022) (5)
- Global existence for Nernst–Planck–Navier–Stokes system in $\mathbb{R}^n$ (2020) (5)
- Symbolic computations: Dispersive soliton solutions for (3+1)-dimensional Boussinesq and Kadomtsev–Petviashvili dynamical equations and its applications (2019) (4)
- Global existence of solutions to a tear film model with locally elevated evaporation rates (2017) (4)
- Global existence for a thin film equation with subcritical mass (2017) (4)
- Green's function for anisotropic dispersive poroelastic media based on the Radon transform and eigenvector diagonalization (2019) (4)
- Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics (2005) (4)
- A Class of Exact Solutions of (3+1)-Dimensional Generalized B-Type Kadomtsev–Petviashvili Equation (2017) (4)
- Complexiton solutions and periodic-soliton solutions for the (2+1)-dimensional BLMP equation (2020) (4)
- Convergence of Diffusion-Drift Many Particle Systems in Probability Under a Sobolev Norm (2016) (4)
- INTERACTION SOLUTIONS AND ABUNDANT EXACT SOLUTIONS FOR THE NEW (3+1)-DIMENSIONAL GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION IN FLUID MECHANICS (2020) (4)
- Structural Stability and Bifurcation for 2-D Incompressible Flows with Symmetry (2008) (4)
- Auto-Bäcklund transformation and exact solutions of the generalized variable-coefficient Kadomtsev-Petviashvili equation (2008) (4)
- Double-periodic soliton solutions for the new (2 + 1)-dimensional KdV equation in fluid flows and plasma physics (2020) (4)
- On convolution groups of completely monotone sequences/functions and fractional calculus (2016) (4)
- Long time behavior of dynamic solution to Peierls–Nabarro dislocation model (2019) (3)
- Mathematical validation of the Peierls--Nabarro model for edge dislocations. (2019) (3)
- Study on double-periodic soliton and non-traveling wave solutions of integrable systems with variable coefficients (2022) (3)
- Research of lump dynamics on the (3+1)-dimensional B-type Kadomtsev–Petviashvili–Boussinesq equation (2021) (3)
- Fluid extraction across pumping and permeable walls in the viscous limit (2016) (3)
- Large time behaviors of upwind schemes by jump processes (2018) (3)
- Multiple-soliton solutions, soliton-type solutions and rational solutions for the -dimensional generalized shallow water equation in oceans, estuaries and impoundments (2016) (3)
- An FFT Based Fast Poisson Solver on Spherical Shells (2011) (3)
- In search of local singularities in ideal potential flows with free surface (2021) (3)
- Gradient flow formulation and second order numerical method for motion by mean curvature and contact line dynamics on rough surface (2020) (3)
- A Numerical Example on the Performance of High Order Discontinuous Galerkin Method for 2D Incompressible Flows (2000) (3)
- Simple Finite Element Numerical Simulation of Incompressible Flow Over Non-rectangular Domains and the Super-Convergence Analysis (2015) (3)
- Projection method for droplet dynamics on groove-textured surface with merging and splitting (2020) (3)
- Efficient computation of viscous incompressible flow (1999) (3)
- Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar conservation laws (2018) (3)
- A class of functional inequalities and their applications to fourth-order nonlinear parabolic equations (2016) (2)
- Convergence of Stochastic Interacting Particle Systems in Probability under a Sobolev Norm (2015) (2)
- New dynamical behaviors for a new extension of the Shallow water model (2022) (2)
- Global weak solution of planetary geostrophic equations with inviscid geostrophic balance (2006) (2)
- Modeling the autophagic effect in tumor growth: a cross diffusion model and its free boundary limit (2020) (2)
- Master equations for finite state mean field games with nonlinear activations (2022) (2)
- Some random batch particle methods for the Poisson-Nernst-Planck and Poisson-Boltzmann equations (2020) (2)
- EXPLICIT AND EXACT NON-TRAVELING WAVE SOLUTIONS OF (3+1)-DIMENSIONAL GENERALIZED SHALLOW WATER EQUATION (2019) (2)
- Exact periodic cross-kink wave solutions for the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation (2017) (2)
- A vicinal surface model for epitaxial growth with logarithmic free energy (2017) (2)
- Euler sprays and Wasserstein geometry of the space of shapes (2016) (2)
- Nonlinear Regularizing Effect for Conservation Laws (2018) (2)
- Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles (2014) (2)
- DISCRETE-INTIME RANDOM PARTICLE BLOB METHOD FOR THE KELLER – SEGEL EQUATION AND CONVERGENCE ANALYSIS ∗ (2017) (2)
- Hyperbolic Problems: Theory, Numerics and Applications, Part 1: Plenary & Invited Talks (2009) (2)
- Field model for complex ionic fluids: analytical properties and numerical investigation (2019) (2)
- Polynomial interpolation of Burgers' equation with randomness (2017) (2)
- A Markov jump process modelling animal group size statistics (2019) (1)
- Effects of small viscosity and far field boundary conditions for hyperbolic systems (2004) (1)
- Error estimate of the particle method for the $b$-equation (2016) (1)
- From kinetic to fluid models of liquid crystals by the moment method (2021) (1)
- Self-similar Spreading in a Merging-Splitting Model of Animal Group Size (2019) (1)
- Stripe solitons and lump solutions for a generalized Kadomtsev–Petviashvili equation with variable coefficients in fluid mechanics (2019) (1)
- Basic Themes and Pretty Problems of Nonlinear Solid Mechanics (2007) (1)
- Convergence of Oja's online principal component flow (2022) (1)
- A tumor growth model with autophagy: The reaction-(cross-)diffusion system and its free boundary limit (2020) (1)
- Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations (2016) (1)
- Hyperbolic problems : theory, numerics and applications : proceedings of the Twelfth International Conference on Hyperbolic Problems, June 9-13, 2008, Center for Scientific Computation and Mathematical Modeling, University of Maryland, College Park (2009) (1)
- Transformations for the variable coefficient Ginzburg-Landau equation with symbolic computation (2006) (1)
- Recent Developments in Numerical Methods for Nonlinear Hyperbolic Partial Differential Equations and their Applications (2008) (1)
- Geometric ergodicity of SGLD via reflection coupling (2023) (1)
- On the equilibrium of the Poisson–Nernst–Planck–Bikermann model equipping with the steric and correlation effects (2022) (1)
- Holographic anomalous current at a finite temperature (2021) (1)
- A Class of Exact Solution of (3+1)-Dimensional Generalized Shallow Water Equation System (2015) (1)
- Far field boundary condition for convection diffusion equation at zero viscosity limit (2004) (1)
- Existence of global weak solutions of $ p $-Navier-Stokes equations (2021) (1)
- FAULT-RELATED INSTABILITY PROBLEMS OF TUNNELS - THE HOST ROCK SLIP CRITERION AND CHARACTERISTICS OF THE TUNNELING-INDUCED SHEAR DISPLACEMENTS (2017) (1)
- Surfactant-dependent contact line dynamics and droplet adhesion on textured substrates: derivations and computations (2021) (1)
- Application of coevolutionary genetic algorithms for multiobjective optimization (2007) (1)
- Maximal monotone operator in non-reflexive Banach space and the application to thin film equation in epitaxial growth on vicinal surface (2017) (1)
- AnAll-SpeedAsymptotic-PreservingMethod for the Isentropic Euler and Navier-Stokes Equations (2012) (1)
- CONVERGENCE AND NUMERICAL BOUNDARY LAYERS * WEINAN E ? (1)
- CONVERGENCE OF THE RANDOM BATCH METHOD FOR INTERACTING PARTICLES WITH DISPARATE SPECIES AND WEIGHTS\ast (2021) (1)
- Multiple Soliton Solutions, Soliton-Type Solutions and Hyperbolic Solutions for the Benjamin–Bona–Mahony Equation with Variable Coefficients in Rotating Fluids and One-Dimensional Transmitted Waves (2016) (1)
- Interaction solutions of a variable-coefficient Kadomtsev–Petviashvili equation with self-consistent sources (2021) (1)
- A note on Monge-Ampère Keller-Segel equation (2016) (1)
- Breather-wave, multi-wave and interaction solutions for the (3+1)-dimensional generalized breaking soliton equation (2021) (1)
- Simple and Efficient Difference Methods for 3D Incompressible Flows Using Vorticity Formulation (1996) (0)
- Long-time dynamics for a simple aggregation equation on the sphere Amic (2019) (0)
- Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate 0 (2005) (0)
- Estimates on the Stokes Pressure by Partitioning the Energy of Harmonic Functions(Kyoto Conference on the Navier-Stokes Equations and their Applications) (2007) (0)
- Chapter Two - Optimization (2007) (0)
- On the best constant for Gagliardo-Nirenberg interpolation inequalities (2017) (0)
- Running head : Essentially Compact Schemes for Incompressible Flows (2000) (0)
- New periodic solitary wave solutions for the new (2+1)-dimensional Korteweg–de Vries equation (2017) (0)
- On Runge-Kutta methods for the water wave equation and its simplified nonlocal hyperbolic model (2017) (0)
- Existence of weak solutions to $p$-Navier-Stokes equations (2023) (0)
- Various exact analytical solutions of a variable-coefficient Kadomtsev–Petviashvili equation (2020) (0)
- The Reconstruction of Upwind Fluxesfor Conservation Laws : Its Behaviorin Dynamic and SteadyState Calculations (1998) (0)
- Large-Scale Dynamics of Mean-Field Games Driven by Local Nash Equilibria (2013) (0)
- Various dynamic behaviors to the (2+1)-dimensional Nizhnik-Novikov-Veselov equations in incompressible fluids (2022) (0)
- Multi-waves, breather wave and lump-type solutions of variable-coefficient Boiti-Leon-Manna-Pempinelli equation. (2019) (0)
- REVISIT OF MACROSCOPIC DYNAMICS FOR CHEMICAL REACTIONS FROM A HAMILTONIAN VIEWPOINT (2021) (0)
- Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method (2017) (0)
- Multi-wavelength fiber laser based on broadband fiber grating and HiBi fiber loop mirror (2007) (0)
- New periodic solitary wave solutions for the (3+1)-dimensional generalized shallow water equation (2017) (0)
- Interior and exterior Newton methods for large-scale quadratic programming (1995) (0)
- Interaction of wave structure in the PT -symmetric (3 + 1) -dimensional nonlocal Mel’nikov equation and their applications (2023) (0)
- Optimal reservoir conditions for fluid extraction through permeable walls in the viscous limit (2015) (0)
- Projection Method with Spatial Discretizations (2000) (0)
- New three-wave solutions for the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation (2016) (0)
- 1 Convergence Analysis of the Particle Method for the Camassa-Holm Equation (2011) (0)
- Extended Rational Sinh-Cosh and Sin-Cos Methods to Derive Solutions to the Coupled Higgs System (2018) (0)
- Phase Transitions, Hysteresis, and Hyperbolicity for Self-Organized Alignment Dynamics (2014) (0)
- Simple finite element methods for unsteady incompressible viscous flow in vorticity formulation (1996) (0)
- Experimental Research on the Leakage Rate of Special Metal Rubber Seal (2017) (0)
- A Scheduling Algorithm with One-Bit Feedback for Multi-user MIMO System: A Scheduling Algorithm with One-Bit Feedback for Multi-user MIMO System (2011) (0)
- A Note on the Subcritical Two Dimensional Keller-Segel System (2011) (0)
- Abundant lump and lump–kink solutions for the new (3+1)-dimensional generalized Kadomtsev–Petviashvili equation (2018) (0)
- A new method for testing the interfacial shear properties between rock and early-aged shotcrete (2019) (0)
- Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation (2022) (0)
- Secondary Vortices and Instabilities in the Spiral Wake Shed Behind a Thin Ellipse (1997) (0)
- Error estimates for finite element Navier-Stokes solvers with explicit time stepping for pressure (2006) (0)
- PLANE-WAVE ANALYSIS OF A HYPERBOLIC SYSTEM OF EQUATIONS WITH RELAXATION IN R (2018) (0)
- A nonconservative scheme for isentropic gas dynamics (1994) (0)
- Efficacies of ~(125)I seed implantation in advanced stage central lung cancer via fibrobronchoscope (2009) (0)
- Diffusion approximations of Oja's online principal component analysis (2023) (0)
- Numerical Simulation of Viscous Incompressible Flow at High Reynolds Numbers (1996) (0)
- Surfactant-dependent contact line dynamics and droplet spreading on textured substrates: Derivations and computations (2021) (0)
- Addendum to "Gauge Method for Viscous Incompressible Flows" (2003) (0)
- Fractional Stochastic Differential Equations Satisfying Fluctuation-Dissipation Theorem (2017) (0)
- New exact solutions for the generalized Kuramoto-Sivashinsky equation (2018) (0)
- Homogenization of the Landau-Lifshitz-Gilbert equation with natural boundary condition (2022) (0)
- Manufacturing System Scheduling Based on Multi-Agent Cooperation Game (2007) (0)
- Sensitivity Analysis of Burgers' Equation with Shocks (2017) (0)
- Field model for complex ionic fluids (2019) (0)
- Simple Finite Element Numerical Simulation of Incompressible Flow Over Non-rectangular Domains and the Super-Convergence Analysis (2015) (0)
- Plane-wave analysis of a hyperbolic system of equations with relaxation in $\mathbb{R}^d$ (2018) (0)
- Well-Posedness and Singular Limit of a Semilinear Hyperbolic Relaxation System with a Two-Scale Discontinuous Relaxation Rate (2014) (0)
- economy driven by local Nash equilibria Evolution of wealth in a non-conservative (2014) (0)
- Existence of global weak solutions of \begin{document}$ p $\end{document} -Navier-Stokes equations (2021) (0)
- Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces (2016) (0)
- An exact solution for Stokes flow in an infinite channel with permeable walls (2014) (0)
- Average Austenite Grain Size Evolution During Multi-pass H-shape Metal Rough Rolling Process (2018) (0)
- A Note on Aubin-Lions-Dubinskiĭ Lemmas (2013) (0)
- Macroscopic Limits and Phase Transition in a System of Self-propelled Particles (2012) (0)
- Reconfigurable microwave photonic filter based on Brillouin-assisted narrowband rectangular optical amplifier (2015) (0)
- Exploring the new optical solitons to the time-fractional integrable generalized (2+1)-dimensional nonlinear Schrödinger system via three different methods (2022) (0)
- Elastic Collisions of Peakons 3 2 Description of the Particle Method for the Camassa-Holm Equation (2013) (0)
- The effect of self-made flexible iris hooks in the combined surgery for glaucoma with cataract (2011) (0)
- PROJECTION METHOD SPATIAL DISCRETIZATION ON THE STAGGERED GRID (2001) (0)
- On generating functions of Hausdorff moment sequences (14-CNA-001) (2014) (0)
- A random batch method for efficient ensemble forecasts of multiscale turbulent systems. (2022) (0)
- On Energy Stable Runge-Kutta Methods for the Water Wave Equation and its Simplified Non-Local Hyperbolic Model (2022) (0)
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