Edriss Titi | Academic Influence

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Edriss Titi

Mathematics

#5189

World Rank

#7323

Historical Rank

Applied Mathematics

#155

World Rank

#172

Historical Rank

Measure Theory

#1246

World Rank

#1581

Historical Rank

mathematics Degrees

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Mathematics

Edriss Titi's Degrees

PhD Mathematics Tel Aviv University

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According to Wikipedia, Edriss Saleh Titi is an Arab-Israeli mathematician. He is Professor of Nonlinear Mathematical Science at the University of Cambridge. He also holds the Arthur Owen Professorship of Mathematics at Texas A&M University, and serves as Professor of Computer Science and Applied Mathematics at the Weizmann Institute of Science and Professor Emeritus at the University of California, Irvine.

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Edriss Titi'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

Onsager's conjecture on the energy conservation for solutions of Euler's equation (1994) (516)
The Navier–Stokes-alpha model of fluid turbulence (2001) (446)
The Three Dimensional Viscous Camassa–Holm Equations, and Their Relation to the Navier–Stokes Equations and Turbulence Theory (2001) (422)
Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics (2005) (391)
Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow (1998) (354)
On a Leray–α model of turbulence (2005) (313)
A connection between the Camassa–Holm equations and turbulent flows in channels and pipes (1999) (266)
The Camassa-Holm equations and turbulence (1999) (244)
On the computation of inertial manifolds (1988) (244)
Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations (1989) (226)
Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models (2006) (211)
Regularity Criteria for the Three-dimensional Navier-Stokes Equations (2008) (209)
Global Regularity Criterion for the 3D Navier–Stokes Equations Involving One Entry of the Velocity Gradient Tensor (2010) (190)
GEVREY REGULARITY FOR NONLINEAR ANALYTIC PARABOLIC EQUATIONS (1998) (170)
Determining nodes, finite difference schemes and inertial manifolds (1991) (168)
Continuous Data Assimilation Using General Interpolant Observables (2013) (163)
A modified-Leray-α subgrid scale model of turbulence (2006) (160)
Global attractors and determining modes for the 3D Navier-Stokes-Voight equations (2007) (156)
Preserving Symmetries in the Proper Orthogonal Decomposition (1993) (148)
Remark on the Rate of Decay of Higher Order Derivatives for Solutions to the Navier–Stokes Equations in Rn☆ (2000) (145)
Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion (2013) (142)
On approximate Inertial Manifolds to the Navier-Stokes equations (1990) (142)
Euler equations for incompressible ideal fluids (2007) (133)
Global stability of large solutions to the 3D Navier-Stokes equations (1994) (124)
Determining finite volume elements for the 2D Navier-Stokes equations (1992) (123)
Continuous data assimilation for the three-dimensional Brinkman–Forchheimer-extended Darcy model (2015) (122)
Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model (2003) (120)
Feedback Control of Nonlinear Dissipative Systems by Finite Determining Parameters - A Reaction-diffusion Paradigm (2013) (119)
Invariant helical subspaces for the Navier-Stokes equations (1990) (118)
Continuous data assimilation for the 2D Bénard convection through velocity measurements alone (2014) (116)
Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems (1997) (114)
The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom (1999) (113)
Traveling Wave Solutions for a Class of One-Dimensional Nonlinear Shallow Water Wave Models (2004) (109)
On the regularization mechanism for the periodic Korteweg–de Vries equation (2009) (108)
Discrete data assimilation in the Lorenz and 2D Navier–Stokes equations (2010) (108)
Postprocessing the Galerkin Method: a Novel Approach to Approximate Inertial Manifolds (1998) (104)
Mathematics and turbulence: where do we stand? (2013) (101)
Determining Modes for Continuous Data Assimilation in 2D Turbulence (2003) (98)
On the rate of convergence of the nonlinear Galerkin methods (1993) (98)
Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics (2012) (97)
Analytical study of certain magnetohydrodynamic-α models (2006) (95)
Exponential decay rate of the power spectrum for solutions of the Navier--Stokes equations (1995) (93)
On the Clark–α model of turbulence: global regularity and long-time dynamics (2004) (89)
A Computational Study of a Data Assimilation Algorithm for the Two-dimensional Navier-Stokes Equations (2015) (89)
Abridged Continuous Data Assimilation for the 2D Navier–Stokes Equations Utilizing Measurements of Only One Component of the Velocity Field (2015) (88)
On the Higher-Order Global Regularity of the Inviscid Voigt-Regularization of Three-Dimensional Hydrodynamic Models (2009) (88)
Continuous data assimilation with stochastically noisy data (2014) (87)
Continuous data assimilation for the three-dimensional Navier-Stokes-α model (2016) (82)
Gevrey Regularity for the Attractor of the 3D Navier–Stokes–Voight Equations (2009) (82)
Asymptotic States of a Smoluchowski Equation (2004) (82)
Global well-posedness for models of shallow water in a basin with a varying bottom (1996) (81)
Continuum approach to discreteness. (2002) (80)
Viscosity versus vorticity stretching: Global well-posedness for a family of Navier–Stokes-alpha-like models (2007) (79)
Onsager’s Conjecture for the Incompressible Euler Equations in Bounded Domains (2017) (79)
Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity (2013) (79)
Data Assimilation algorithm for 3D B\'enard convection in porous media employing only temperature measurements (2015) (79)
Loss of smoothness and energy conserving rough weak solutions for the 3d Euler equations (2009) (79)
Finite determining parameters feedback control for distributed nonlinear dissipative systems - a computational study (2015) (78)
Regularity of Coupled Two-Dimensional Nonlinear Fokker-Planck and Navier-Stokes Systems (2006) (78)
Global Well-Posedness of the 2D Boussinesq Equations with Vertical Dissipation (2015) (77)
Distributed and boundarycontrol of the viscous burgers' equation (1997) (72)
Dissipativity of numerical schemes (1991) (71)
Downscaling the 2D Bénard convection equations using continuous data assimilation (2015) (70)
Order reduction for nonlinear dynamic models of distributed reacting systems (2000) (70)
Regularity of solutions and the convergence of the galerkin method in the ginzburg-landau equation (1993) (69)
Global existence theory for a generalized Ginzburg-Landau equation (1992) (69)
Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Horizontal Eddy Diffusivity (2014) (69)
An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations (1999) (69)
Global Well–Posedness of the 3D Primitive Equations with Partial Vertical Turbulence Mixing Heat Diffusion (2010) (67)
A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier-Stokes Equations and Their Statistics (2016) (67)
Analysis of a mixture model of tumor growth (2012) (66)
Remarks on a Smoluchowski equation (2004) (66)
Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation (1993) (66)
Global Well‐Posedness of the Three‐Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion (2016) (65)
On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model (2009) (64)
On the number of determining nodes for the 2D Navier-Stokes equations (1992) (64)
Analytic study of shell models of turbulence (2005) (62)
On the Charney Conjecture of Data Assimilation Employing Temperature Measurements Alone: The Paradigm of 3D Planetary Geostrophic Model (2016) (61)
On the convergence of solutions of the Leray-$\alpha $ model to the trajectory attractor of the 3D Navier-Stokes system (2006) (61)
Continuous Data Assimilation for a 2D Bénard Convection System Through Horizontal Velocity Measurements Alone (2016) (60)
Analyticity of essentially bounded solutions to semilinear parabolic systems and validity of the Ginzburg-Landau equation (1996) (59)
On The Dynamics of Rotating Elastic Beams (1991) (59)
Onsager’s Conjecture with Physical Boundaries and an Application to the Vanishing Viscosity Limit (2018) (59)
On the Domain of Analyticity for Solutions of Second Order Analytic Nonlinear Differential Equations (2001) (58)
Global well-posedness of strong solutions to a tropical climate model (2015) (57)
Small viscosity sharp estimates for the global attractor of the 2-D damped-driven Navier-Stokes equations (2004) (55)
Strong solutions to the 3D primitive equations with only horizontal dissipation: near $H^1$ initial data (2016) (54)
Galerkin projections and the proper orthogonal decomposition for equivariant equations (1993) (53)
On the effectiveness of the approximate inertial manifold—a computational study (1995) (53)
A Data Assimilation Algorithm for the Subcritical Surface Quasi-Geostrophic Equation (2016) (53)
Sharp Estimates for the Number of Degrees of Freedom for the Damped-Driven 2-D Navier-Stokes Equations (2005) (53)
An inviscid regularization for the surface quasi‐geostrophic equation (2007) (52)
Existence of solutions to the Stommel-Charney model of the Gulf Stream (1988) (51)
Stability of Two-Dimensional Viscous Incompressible Flows under Three-Dimensional Perturbations and Inviscid Symmetry Breaking (2012) (50)
Convergence of the 2D Euler-α to Euler equations in the Dirichlet case: Indifference to boundary layers (2014) (50)
On a criterion for locating stable stationary solutions to the Navier-Stokes equations (1987) (50)
A remark on quasi-stationary approximate inertial manifolds for the Navier-Stokes equations (1994) (48)
ANALYTICITY OF THE ATTRACTOR AND THE NUMBER OF DETERMINING NODES FOR A WEAKLY DAMPED DRIVEN NONLINEAR SCHRODINGER EQUATION (1998) (47)
Regularization modeling for large-eddy simulation of homogeneous isotropic decaying turbulence (2008) (47)
A unified approach to determining forms for the 2D Navier–Stokes equations — the general interpolants case (2013) (47)
A posteriori regularity of the three-dimensional Navier–Stokes equations from numerical computations (2006) (47)
On the Convergence Rate of the Euler-α, an Inviscid Second-Grade Complex Fluid, Model to the Euler Equations (2009) (46)
Determining modes and Grashof number in 2D turbulence: a numerical case study (2008) (46)
The primitive equations as the small aspect ratio limit of the Navier–Stokes equations: Rigorous justification of the hydrostatic approximation (2017) (45)
A study of the Navier-Stokes-α model for two-dimensional turbulence (2007) (44)
Global well-posedness for the lake equations (1996) (44)
Order Reduction of Nonlinear Dynamic Models for Distributed Reacting Systems (1998) (44)
The Postprocessing Galerkin and Nonlinear Galerkin Methods - A Truncation Analysis Point of View (2003) (43)
Downscaling data assimilation algorithm with applications to statistical solutions of the Navier–Stokes equations (2017) (43)
Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm (2018) (43)
Preserving dissipation in approximate inertial forms for the Kuramoto-Sivashinsky equation (1991) (42)
Invariant measures for the 3D Navier-Stokes-Voigt equations and their Navier-Stokes limit (2009) (41)
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity (2017) (40)
Regularity of inviscid shell models of turbulence. (2006) (40)
Slow observables of singularly perturbed differential equations (2007) (40)
Computational efficiency and approximate inertial manifolds for a Bénard convection system (1993) (39)
Non-uniqueness of weak solutions to hyperviscous Navier–Stokes equations: on sharpness of J.-L. Lions exponent (2018) (39)
Vanishing viscosity as a selection principle for the Euler equations: The case of 3D shear flow (2012) (38)
A Beale-Kato-Madja breakdown criterion for an Oldroyd-B fluid in the creeping flow regime (2007) (38)
A determining form for the damped driven nonlinear Schrödinger equation—Fourier modes case (2014) (38)
Assimilation of Nearly Turbulent Rayleigh–Bénard Flow Through Vorticity or Local Circulation Measurements: A Computational Study (2017) (38)
Attractors for the Two-Dimensional Navier–Stokes-α Model: An α-Dependence Study (2003) (37)
Global Well-posedness for The 2D Boussinesq System Without Heat Diffusion and With Either Anisotropic Viscosity or Inviscid Voigt-$α$ Regularization (2010) (37)
A determining form for the two-dimensional Navier-Stokes equations: The Fourier modes case (2012) (37)
Existence and Uniqueness of Weak Solutions to Viscous Primitive Equations for a Certain Class of Discontinuous Initial Data (2015) (36)
Global Gevrey Regularity for the Bénard Convection in a Porous Medium with Zero Darcy-Prandtl Number (1999) (36)
Attractor dimension and small length scale estimates for the three-dimensional Navier - Stokes equations (1997) (36)
On convergence of trajectory attractors of the 3D Navier-Stokes-α model as α approaches 0 (2007) (35)
On the Rate of Convergence of the Two-Dimensional α-Models of Turbulence to the Navier–Stokes Equations (2009) (35)
Gevrey Regularity for Nonlinear Analytic Parabolic Equations on the Sphere (2000) (35)
Determining Projections and Functionals for Weak Solutions of the Navier-Stokes Equations (2010) (35)
Global Existence and Uniqueness of Weak Solutions of Three-Dimensional Euler Equations with Helical Symmetry in the Absence of Vorticity Stretching (2009) (34)
Computational Models of Turbulence: The LANS-α Model and the Role of Global Analysis (2005) (34)
Determining degrees of freedom for nonlinear dissipative equations (1995) (33)
On the evolution of nearly circular vortex patches (1988) (33)
A DETERMINING FORM FOR THE 2D NAVIER-STOKES EQUATIONS - THE FOURIER MODES CASE (2012) (33)
Recent Advances Concerning Certain Class of Geophysical Flows (2016) (33)
Efficient dynamical downscaling of general circulation models using continuous data assimilation (2019) (32)
Trajectory attractor approximation of the 3D Navier-Stokes system by a Leray-α model (2005) (32)
Finite-time singularity versus global regularity for hyper-viscous Hamilton-Jacobi-like equations (2003) (31)
C1Approximations of Inertial Manifolds for Dissipative Nonlinear Equations (1996) (31)
Postprocessing the Galerkin Method: The Finite-Element Case (1999) (30)
Rigorous estimates of small scales in turbulent flows (1996) (30)
Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping (2013) (30)
Higher-Order Global Regularity of an Inviscid Voigt-Regularization of the Three-Dimensional Inviscid Resistive Magnetohydrodynamic Equations (2011) (30)
Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier-Stokes Equations (2018) (30)
Global Well-posedness of the 3D Primitive Equations with Only Horizontal Viscosity and Diffusion (2014) (29)
On some dissipative fully discrete nonlinear Galerkin schemes for the Kuramoto-Sivashinsky equation (1994) (29)
Gevrey regularity of the global attractor of the 3D Navier-Stokes-Voight equations (2007) (29)
Continuous Data Assimilation with Blurred-in-Time Measurements of the Surface Quasi-Geostrophic Equation (2018) (29)
A discrete data assimilation scheme for the solutions of the 2D Navier-Stokes equations and their statistics (2016) (29)
Young Measure Approach to Computing Slowly Advancing Fast Oscillations (2008) (28)
A tropical atmosphere model with moisture: global well-posedness and relaxation limit (2015) (28)
Dissipativity and Gevrey regularity of a Smoluchowski equation (2005) (27)
Spectral scaling of the Leray-α model for two-dimensional turbulence (2007) (27)
On the Extension of Onsager’s Conjecture for General Conservation Laws (2018) (27)
On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in $\mathbb R^2$ (2014) (27)
Trivial stationary solutions to the Kuramoto–Sivashinsky and certain nonlinear elliptic equations (2006) (26)
On the Global Regularity of a Helical-Decimated Version of the 3D Navier-Stokes Equations (2013) (26)
Efficient methods using high accuracy approximate inertial manifolds (2001) (26)
Towards an End-to-End Analysis and Prediction System for Weather, Climate, and Marine Applications in the Red Sea (2021) (25)
Towards an End-to-End Analysis and Prediction System for Weather, Climate, and Marine Applications in the Red Sea (2021) (25)
Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates (2020) (25)
Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws (2019) (24)
On the radius of analyticity of solutions to the cubic Szegő equation (2013) (24)
Approximation of 2D Euler Equations by the Second-Grade Fluid Equations with Dirichlet Boundary Conditions (2014) (24)
Numerical Criterion for the Stabilization of Steady States of the Navier-Stokes Equations (1999) (24)
Global regularity for a Birkhoff–Rott-α approximation of the dynamics of vortex sheets of the 2D Euler equations (2007) (23)
Spectral Filtering of Interpolant Observables for a Discrete-in-Time Downscaling Data Assimilation Algorithm (2018) (22)
Determining form and data assimilation algorithm for weakly damped and driven Korteweg-de Vries equaton- Fourier modes case (2015) (21)
A computational investigation of the finite-time blow-up of the 3D incompressible Euler equations based on the Voigt regularization (2015) (21)
A Data Assimilation Algorithm: the Paradigm of the 3D Leray-α Model of Turbulence (2019) (21)
Analysis and Computation of a Discrete KdV-Burgers Type Equation with Fast Dispersion and Slow Diffusion (2009) (21)
A ‘horizontal’ hyper-diffusion three-dimensional thermocline planetary geostrophic model: well-posedness and long-time behaviour (2003) (21)
Gevrey Regularity for the Attractor of a Partially Dissipative Model of Bénard Convection in a Porous Medium (2000) (20)
Global well-posedness for passively transported nonlinear moisture dynamics with phase changes (2016) (20)
The Lorenz equation as a metaphor for the Navier-Stokes equations (2001) (20)
Finite-time blowup and ill-posedness in Sobolev spaces of the inviscid primitive equations with rotation (2020) (19)
Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows (2006) (19)
The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation (1996) (19)
Persistence of Invariant Sets for Dissipative Evolution Equations (1998) (19)
Global regularity and convergence of a Birkhoff‐Rott‐α approximation of the dynamics of vortex sheets of the two‐dimensional Euler equations (2010) (18)
On the Effect of Rotation on the Life-Span of Analytic Solutions to the 3D Inviscid Primitive Equations (2020) (17)
Inertial Manifolds for Certain Subgrid-Scale α-Models of Turbulence (2014) (17)
Global well-posedness of a 3D MHD model in porous media (2018) (17)
Uniform in time error estimates for fully discrete numerical schemes of a data assimilation algorithm (2018) (17)
Nonlinear Schrödinger–Helmholtz equation as numerical regularization of the nonlinear Schrödinger equation (2007) (17)
Global Well-Posedness of an Inviscid Three-Dimensional Pseudo-Hasegawa-Mima Model (2011) (16)
Global Well-posedness of a System of Nonlinearly Coupled KdV equations of Majda and Biello (2013) (16)
GLOBAL REGULARITY VS. FINITE-TIME SINGULARITIES: SOME PARADIGMS ON THE EFFECT OF BOUNDARY CONDITIONS AND CERTAIN PERTURBATIONS (2014) (16)
Cluster formation in complex multi-scale systems (2005) (16)
Use of Approximate Inertial Manifolds in Bifurcation Calculations (1990) (15)
Entire Solutions of Hydrodynamical Equations with Exponential Dissipation (2008) (14)
Dissipation Length Scale Estimates for Turbulent Flows: A Wiener Algebra Approach (2013) (14)
Global Existence and Uniqueness of Weak Solutions of 3-D Euler Equations with Helical Symmetry in the Absence of Vorticity Stretching (2008) (13)
Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes (2019) (13)
The 3D Incompressible Euler Equations with a Passive Scalar: A Road to Blow-Up? (2012) (13)
Stochastic Attractors for Shell Phenomenological Models of Turbulence (2009) (13)
Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations (2018) (12)
Large dispersion, averaging and attractors: three 1D paradigms (2016) (12)
On the Well-Posedness of Reduced 3D Primitive Geostrophic Adjustment Model with Weak Dissipation (2019) (12)
The primitive equations approximation of the anisotropic horizontally viscous 3D Navier-Stokes equations (2021) (11)
Persistency of Analyticity for Nonlinear Wave Equations: An Energy-like Approach (2013) (11)
Finite-Parameters Feedback Control for Stabilizing Damped Nonlinear Wave Equations (2015) (11)
A Determining Form for the Subcritical Surface Quasi-Geostrophic Equation (2017) (11)
Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities (2018) (11)
Global regularity and convergence of a Birkhoff-Rott-alpha approximation of the dynamics of vortex sheets of the 2D Euler equations (2009) (10)
One-Dimensional Parametric Determining form for the Two-Dimensional Navier–Stokes Equations (2016) (10)
Statistical properties of nonlinear shell models of turbulence from linear advection models: rigorous results (2006) (9)
The Damped-Driven 2D Navier–Stokes System on Large Elongated Domains (2008) (9)
Title Global well-posedness for the 2 D Boussinesq system with anisotropic viscosity and without heat diffusion (2013) (9)
Postprocessing Galerkin method applied to a data assimilation algorithm: a uniform in time error estimate (2016) (9)
A data assimilation algorithm: the paradigm of the 3D Leray-alpha model of turbulence (2017) (9)
Zero Mach Number Limit of the Compressible Primitive Equations: Well-Prepared Initial Data (2020) (8)
Algebraic bounds on the Rayleigh–Bénard attractor (2019) (8)
Asymptotic expansions in time for rotating incompressible viscous fluids (2019) (8)
ASYMPTOTIC BEHAVIOR OF VISCOUS 1–D SCALAR CONSERVATION LAWS WITH NEUMANN BOUNDARY CONDITIONS (2002) (8)
Global stabilization of the Navier-Stokes-Voight and the damped nonlinear wave equations by finite number of feedback controllers (2017) (7)
C0,α boundary regularity for the pressure in weak solutions of the 2d Euler equations (2021) (7)
Well-Posedness of Hibler’s Dynamical Sea-Ice Model (2021) (7)
Continuous data assimilation for the three-dimensional Navier-Stokes-$\alpha$ (2014) (7)
Planar Limits of Three-Dimensional Incompressible Flows with Helical Symmetry (2013) (7)
On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations (2022) (6)
Sharp Lower Bounds for the Dimension of the Global Attractor of the Sabra Shell Model of Turbulence (2006) (6)
Existence of Solutions to the Charney Model of the Gulf Stream (1986) (6)
Stabilizing the Long-time Behavior of the Navier-Stokes Equations and Damped Euler Systems by Fast Oscillating Forces (2016) (5)
Zero Mach Number Limit of the Compressible Primitive Equations Part I: Well-prepared Initial Data (2019) (5)
Onsager’s Conjecture for the Incompressible Euler Equations in Bounded Domains (2017) (5)
Long-time behavior of a two-layer model of baroclinic quasi-geostrophic turbulence (2012) (5)
A “horizontal” hyper–diffusion 3 − D thermocline planetary geostrophic model: wellposedness and long time behavior, Nonlinearity 17 (2004) (5)
Continuous Data Assimilation Using General Interpolant Observables (2013) (5)
Onsager’s Conjecture for Subgrid Scale α -Models of Turbulence (2022) (5)
Regularity “in Large” for the 3D Salmon’s Planetary Geostrophic Model of Ocean Dynamics (2010) (5)
The inviscid limit for the 2D Navier-Stokes equations in bounded domains (2021) (5)
Modulation Theory for Self-Focusing in the Nonlinear Schrödinger–Helmholtz Equation (2008) (5)
GLOBAL REGULARITY CRITERION FOR THE 3 D NAVIER – STOKES EQUATIONS INVOLVING ONE ENTRY OF THE VELOCITY GRADIENT TENSOR By Chongsheng Cao and (2010) (5)
On the domain of analyticity and small scales for the solutions of the damped-driven 2d Navier–Stokes equations (2007) (4)
Parameterizing the global attractor of the navier-stokes equations by nodal values (1995) (4)
Title Data Assimilation algorithm for 3 D Bénard convection in porous media employing only temperature measurements (2015) (4)
Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics (2015) (4)
Postprocessing Fourier spectral methods: the case of smooth solutions (1998) (4)
Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation (2018) (4)
Fe b 20 09 Global regularity and convergence of a Birkhoff-Rott-α approximation of the dynamics of vortex sheets of the 2 D Euler equations (2009) (4)
Navier-Stokes equations, determining forms, determining modes, inertial manifolds, dissipative dynamical systems (2012) (3)
Global well-posedness of a three-dimensional Brinkman-Forchheimer-Bénard convection model in porous media (2022) (3)
Exponential convergence of the Galerkin approximation for the Ginzburg-Landau equation (1993) (3)
Inertial Manifolds and Gevrey Regularity for the Moore-Greitzer Model of an Axial-Flow Compressor (2003) (3)
PRESSURE REGULARITY CRITERION FOR THE THREE DIMENSIONAL NAVIER-STOKES EQUATIONS IN INFINITE CHANNEL (2007) (2)
Stabilizing the long-time behavior of the forced Navier-Stokes and damped Euler systems by large mean flow (2017) (2)
Inertial Manifolds for Certain Sub-Grid Scale $\alpha$-Models of Turbulence (2014) (2)
Continuous Data Assimilation for a 2D Bénard Convection System Through Horizontal Velocity Measurements Alone (2017) (2)
Enhanced Simulation of the Indian Summer Monsoon Rainfall Using Regional Climate Modeling and Continuous Data Assimilation (2022) (2)
Determining nodes for extended dissipative systems (1996) (2)
A Determining Form for the 2D Rayleigh-Bénard Problem (2019) (1)
Long-time limit for a class of quadratic infinite-dimensional dynamical systems inspired by models of viscoelastic fluids (2007) (1)
On the Extension of Onsager’s Conjecture for General Conservation Laws (2018) (1)
On Energy Conservation for the Hydrostatic Euler Equations: An Onsager Conjecture (2022) (1)
a Bounded (2011) (1)
Non-viscous Regularization of the Davey-Stewartson Equations: Analysis and Modulation Theory (2016) (1)
Titi On the global regularity of a helical-decimated version of the 3 D Navier-Stokes equations (2013) (1)
Axisymmetric Euler-$α$ Equations without Swirl: Existence, Uniqueness, and Radon Measure Valued Solutions (2009) (1)
Well-Posedness of Strong Solutions to the Anelastic Equations of Stratified Viscous Flows (2019) (1)
Introduction to Special Issue: Incompressible Fluids, Turbulence and Mixing (2012) (1)
Global Well-Posedness of an Inviscid Three-Dimensional Pseudo-Hasegawa-Mima Model (2012) (1)
Global Well-posedness for The 2D Boussinesq System Without Heat Diffusion and With Either Anisotropic Viscosity or Inviscid Voigt-$\alpha$ Regularization (2010) (1)
Global regularity for an inviscid three-dimensional slow limiting ocean dynamics model (2013) (1)
CDAnet: A Physics‐Informed Deep Neural Network for Downscaling Fluid Flows (2022) (1)
Continuous and discrete data assimilation with noisy observations for the Rayleigh-Bénard convection: a computational study (2022) (1)
The 3D Incompressible Euler Equations with a Passive Scalar: A Road to Blow-Up? (2013) (1)
On the Effect of Rotation on the Life-Span of Analytic Solutions to the 3D Inviscid Primitive Equations (2022) (1)
Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation (2018) (1)
One-Dimensional Parametric Determining form for the Two-Dimensional Navier–Stokes Equations (2017) (0)
Mathematical Advances in Geophysical Fluid Dynamics (2021) (0)
Global well-posedness of a three-dimensional Brinkman-Forchheimer-B\'enard convection model in porous media (2022) (0)
Title Feedback Control of Nonlinear Dissipative Systems by Finite Determining Parameters-A Reaction-diffusion Paradigm Permalink (2013) (0)
Title : Finite-Parameters Feedback Control for Stabilizing Damped Nonlinear Wave Equations (2015) (0)
Dissipation Length Scale Estimates for Turbulent Flows: A Wiener Algebra Approach (2014) (0)
On the backward behavior of some dissipative evolution equations (2015) (0)
Global well-posedness for the thermodynamically refined passively transported nonlinear moisture dynamics with phase changes (2022) (0)
On the Global Regularity of a Helical-Decimated Version of the 3D Navier-Stokes Equations (2013) (0)
A computational investigation of the finite-time blow-up of the 3D incompressible Euler equations based on the Voigt regularization (2017) (0)
A P ] 1 3 O ct 2 01 3 DISSIPATIVE LENGTH SCALE ESTIMATES FOR TURBULENT FLOWS-A WIENER ALGEBRA APPROACH (2013) (0)
H\"older regularity of the pressure for weak solutions of the 3D Euler equations in bounded domains (2023) (0)
A P / 07 01 53 0 v 1 1 9 Ja n 20 07 ON THE DOMAIN OF ANALYTICITY AND SMALL SCALES FOR THE SOLUTIONS OF THE DAMPED-DRIVEN 2 D NAVIER – STOKES EQUATIONS (2007) (0)
Title Continuous data assimilation for the three-dimensional (0)
Geophysical Fluid Dynamics (2013) (0)
GLOBAL WELL-POSEDNESS FOR THE 2D BOUSSINESQ SYSTEM WITH ANISOTROPIC VISCOSITY AND WITHOUT (2013) (0)
Approximation of 2D Euler Equations by the Second-Grade Fluid Equations with Dirichlet Boundary Conditions (2015) (0)
Higher-Order Global Regularity of an Inviscid Voigt-Regularization of the Three-Dimensional Inviscid Resistive Magnetohydrodynamic Equations (2013) (0)
Title Determining form and data assimilation algorithm for weakly damped and driven Korteweg – de Vries equation — Fourier modes case Permalink (2015) (0)
Computing Slowly Advancing Features in Fast-Slow Systems without Scale Separation- A Young Measure Approach (2010) (0)
Ju l 2 01 5 A Blow-Up Criterion for the 3 D Euler Equations Via the Euler-Voigt Inviscid Regularization (2015) (0)
determining parameters feedback control for distributed nonlinear dissipative systems - a (2015) (0)
Recent Analytical and Numerical Results for The Navier-Stokes-Voigt Model and Related Models (2010) (0)
Global Well–Posedness of the 3D Primitive Equations with Partial Vertical Turbulence Mixing Heat Diffusion (2012) (0)
Planar Limits of Three-Dimensional Incompressible Flows with Helical Symmetry (2014) (0)
A P ] 1 S ep 2 01 8 CONTINUOUS DATA ASSIMILATION WITH BLURRED-INTIME MEASUREMENTS OF THE SURFACE QUASI-GEOSTROPHIC EQUATION (2018) (0)
J an 2 00 5 Cluster formation in complex multi-scale systems (2005) (0)
A P ] 1 D ec 2 00 6 Analytical Study of Certain Magnetohydrodynamic-α Models (2006) (0)
Title Finite-time blowup and ill-posedness in Sobolev spaces of the inviscid primitive equations with rotation Permalink (2020) (0)
Global Well-posedness of 3D Primitive Equations (2006) (0)
Title Stochastic Attractors for Shell Phenomenological Models of Turbulence Permalink (2010) (0)
A P ] 4 M ay 2 01 7 A DETERMINING FORM FOR THE SUBCRITICAL SURFACE QUASI-GEOSTROPHIC EQUATION (2017) (0)
Spectral scaling of the two-dimensional Navier-Stokes-$\alpha$ and Leray-$\alpha$ models (2007) (0)
A dynamic-kinematic 3D model for density-driven ocean circulation flows: Construction, global well-posedness and dynamics (2021) (0)
Fe b 20 16 A DISCRETE DATA ASSIMILATION SCHEME FOR THE SOLUTIONS OF THE 2 D NAVIER-STOKES EQUATIONS AND THEIR STATISTICS (0)
Assimilation of Nearly Turbulent Rayleigh–Bénard Flow Through Vorticity or Local Circulation Measurements: A Computational Study (2018) (0)
Is Dispersion a Stabilizing or Destabilizing Mechanism ? (0)
Dissipativity and Gevrey Regularity of a (2004) (0)
A pr 2 01 3 Continuous Data Assimilation Using General Interpolant Observables (2013) (0)
A Blow-Up Criterion for the 3D Euler Equations Via the Euler-Voigt Inviscid Regularization (2015) (0)
Title A discrete data assimilation scheme for the solutions of the two-dimensional Navier-Stokes equations and their statistics Permalink (2016) (0)
Title Abridged continuous data assimilation for the 2 D Navier-Stokes equations utilizing measurements of only one component of the velocity field Permalink (2015) (0)
Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity (2014) (0)
CONVERGENCE OF THE LERAY α-REGULARIZATION SCHEME FOR DISCONTINUOUS SOLUTIONS OF THE INVISCID BURGER’S EQUATION (2006) (0)
N A ] 2 M ar 2 01 9 Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the Navier – Stokes equations (2019) (0)
A Self-Consistent Multiscale Theory of Internal- Wave Mean-Flow Interactions in the Ocean (2000) (0)
2022 Global well-posedness of a three-dimensional Brinkman-Forchheimer-B´enard convection model in porous media (2022) (0)
Derivation of a generalized quasi-geostrophic approximation for inviscid flows in a channel domain: The fast waves correction (2023) (0)
Global Well-Posedness of the Primitive Equations of Large-Scale Ocean Dynamics with the Gent-McWilliams-Redi Eddy Parametrization Model (2023) (0)
Self-Consistent Multiscale Theory of Internal Wave, Mean-Flow Interactions (1999) (0)
C boundary regularity for the pressure in weak formulation of the Euler equations (2021) (0)
Navier-Stokes equations, determining forms, determining modes, inertial manifolds, dissipative dynamical systems - eScholarship (2017) (0)
REGULARITY “ IN LARGE ” FOR THE 3 D SALMON ’ S PLANETARY GEOSTROPHIC MODEL OF OCEAN DYNAMICS By Chongsheng Cao and (2011) (0)
Title Global Regularity vs . Finite-Time Singularities : Some Paradigms on the Effect of Boundary Conditions and Certain Perturbations Permalink (0)
Abridged Continuous Data Assimilation for the 2D Navier–Stokes Equations Utilizing Measurements of Only One Component of the Velocity Field (2015) (0)
Remark on the Rate of Decay of Higher Order Derivatives for Solutions to the Navier(cid:21)Stokes Equations in R n (2000) (0)
On the Loss of Regularity for the Three-Dimensional Euler Equations (2012) (0)
Well-Posedness of Strong Solutions to the Anelastic Equations of Stratified Viscous Flows (2020) (0)
Title Navier-Stokes equations , determining forms , determining modes , inertial manifolds , dissipative dynamical systems (2012) (0)
Works Title Onsager ' s Conjecture with Physical Boundaries and an Application to the Vanishing Viscosity Limit Permalink (2018) (0)
On the incompressible limit of a strongly stratified heat conducting fluid (2022) (0)
Determining the global dynamics of the two-dimensional Navier-Stokes equations by a scalar ODE (2019) (0)
Onsager’s conjecture for subgrid scale <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e1484" altimg="si410.svg"><mml:mi>α</mml:mi></mml:math>-models of turbulence (2022) (0)
Global Well-Posedness of the 2D Boussinesq Equations with Vertical Dissipation (2015) (0)
determining form for the damped driven nonlinear Schrödinger equation-Fourier modes (2014) (0)
Title Global Well-Posedness of the 2 D Boussinesq Equations with Vertical Dissipation Permalink (2015) (0)
Super-exponential convergence rate of a nonlinear continuous data assimilation algorithm: The 2D Navier-Stokes equations paradigm (2023) (0)
Title A data assimilation algorithm : the paradigm of the 3 D Leray-alpha model of turbulence (0)
A P ] 2 3 Ju n 20 06 Analytical Study of Certain Magnetohydrodynamic-α Models (2006) (0)
Thesis: A Numerical Study of Continuous Data Assimilation for the 2D Navier– Stokes Equations Using Nodal Points (2013) (0)
APPLIED NONLINEAR STOCHASTIC DYNAMICS (1999) (0)
A Kinematic–Dynamic 3D Model for Density-Driven Ocean Flows: Construction, Global Well-Posedness, and Dynamics (2022) (0)
Title Convergence of the 2 D Euler-α to Euler equations in the Dirichlet case : Indifference to boundary layers Permalink (2014) (0)
CONVECTION THROUGH VELOCITY MEASUREMENTS ALONE (2014) (0)
D ec 2 01 0 REGULARITY “ IN LARGE ” FOR THE 3 D SALMON ’ S PLANETARY GEOSTROPHIC MODEL OF OCEAN DYNAMICS (2010) (0)
On the Barotropic Model of the Ocean Circulation (1987) (0)
ASSIMILATION FOR WEAKLY DAMPED AND DRIVEN (2015) (0)
Onsager's Conjecture for Subgrid Scale $\alpha$-Models of Turbulence (2022) (0)
Global well-posedness for a rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number (2020) (0)
A Determining Form for the Subcritical Surface Quasi-Geostrophic Equation (2018) (0)
A pr 2 01 6 ONE-DIMENSIONAL PARAMETRIC DETERMINING FORM FOR THE TWO-DIMENSIONAL (2016) (0)
Mathematical Aspects of Hydrodynamics (2020) (0)
Upper Bounds on the Numberof DeterminingModes , Nodes , and Volume Elementsfor theNavier-Stokes EquationsDon (2005) (0)

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