José A. Carrillo

Q: What Schools Are Affiliated With José A. Carrillo

José A. Carrillo is affiliated with the following schools: University of Texas at Austin, Autonomous University of Barcelona, Imperial College London, University of Oxford, University of Granada

José A. Carrillo's AcademicInfluence.com Rankings

José A. Carrillo

Mathematics

#3944

World Rank

#5694

Historical Rank

Applied Mathematics

#134

World Rank

#150

Historical Rank

Measure Theory

#1484

World Rank

#1855

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Why Is José A. Carrillo Influential?

(Suggest an Edit or Addition)

According to Wikipedia, José Antonio Carrillo de la Plata is a Spanish mathematician primarily known for his contributions in applied partial differential equations, numerical analysis, many particle systems and kinetic theory. His works make use of methods from functional analysis, calculus of variations, optimal transport, gradient descent and entropy methods. Currently he is Professor of Nonlinear Partial Differential Equations at the Mathematical Institute of the University of Oxford where he started in April 2020. He is also Tutorial Fellow at The Queen's College Oxford in Applied Mathematics. He was previously Chair in Applied and Numerical Analysis at the Department of Mathematics, Imperial College London, United Kingdom, a position he held from October 2012 till March 2020. He served as Chair of the Applied Mathematics Committee of the European Mathematical Society during the period 2014–2017. He was formerly ICREA Research Professor at the Universitat Autònoma de Barcelona, Spain, during the period 2003–2012, and held positions at the University of Granada, Spain, and the University of Texas at Austin, United States during the years 1992–2003. He was recognized with the SeMA prize and the GAMM Richard Von-Mises prize for young researchers. He was a holder of the Royal Society Wolfson Fellowship during the period 2012–2017.

(See a Problem?)

José A. Carrillo'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

Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates (2003) (472)
Asymptotic Flocking Dynamics for the Kinetic Cucker-Smale Model (2010) (433)
Contractions in the 2-Wasserstein Length Space and Thermalization of Granular Media (2006) (348)
Entropy Dissipation Methods for Degenerate ParabolicProblems and Generalized Sobolev Inequalities (2001) (348)
Particle, kinetic, and hydrodynamic models of swarming (2010) (336)
Asymptotic L1-decay of solutions of the porous medium equation to self-similarity (2000) (302)
A well-posedness theory in measures for some kinetic models of collective motion (2009) (269)
Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations (2011) (269)
Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2 (2007) (262)
On Some Properties of Kinetic and Hydrodynamic Equations for Inelastic Interactions (2000) (238)
Double milling in self-propelled swarms from kinetic theory (2009) (232)
Blow-up in multidimensional aggregation equations with mildly singular interaction kernels (2009) (222)
Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak-Keller-Segel Model (2008) (215)
The derivation of swarming models: Mean-field limit and Wasserstein distances (2013) (211)
Volume effects in the Keller-Segel model : energy estimates preventing blow-up (2006) (210)
Critical mass for a Patlak–Keller–Segel model with degenerate diffusion in higher dimensions (2008) (176)
A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure (2014) (172)
Stochastic Mean-Field Limit: Non-Lipschitz Forces & Swarming (2010) (155)
Dimensionality of Local Minimizers of the Interaction Energy (2012) (147)
A Non-Maxwellian Steady Distribution for One-Dimensional Granular Media (1998) (147)
Functional inequalities, thick tails and asymptotics for the critical mass Patlak–Keller–Segel model (2010) (146)
A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: performance and comparisons with Monte Carlo methods (2003) (124)
Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model (2006) (121)
Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states (2010) (119)
Mean-field limit for the stochastic Vicsek model (2011) (111)
Long-Time Asymptotics for Strong Solutions¶of the Thin Film Equation (2002) (111)
Nonlocal interactions by repulsive–attractive potentials: Radial ins/stability (2011) (110)
Critical thresholds in 1D Euler equations with nonlocal forces (2014) (101)
SELF-PROPELLED INTERACTING PARTICLE SYSTEMS WITH ROOSTING FORCE (2010) (99)
Sharp conditions to avoid collisions in singular Cucker-Smale interactions (2016) (97)
A blob method for diffusion (2017) (97)
Fine Asymptotics for Fast Diffusion Equations (2003) (96)
Exponential convergence toward equilibrium for homogeneous Fokker–Planck‐type equations (1998) (89)
An analytical framework for a consensus-based global optimization method (2016) (88)
Numerical Simulation of Diffusive and Aggregation Phenomena in Nonlinear Continuity Equations by Evolving Diffeomorphisms (2009) (88)
Entropies and Equilibria of Many-Particle Systems: An Essay on Recent Research (2004) (87)
WASSERSTEIN METRIC AND LARGE-TIME ASYMPTOTICS OF NONLINEAR DIFFUSION EQUATIONS (2005) (86)
Existence of Compactly Supported Global Minimisers for the Interaction Energy (2014) (84)
A Review on Attractive–Repulsive Hydrodynamics for Consensus in Collective Behavior (2016) (83)
Regularity of Local Minimizers of the Interaction Energy Via Obstacle Problems (2014) (80)
A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity (2011) (79)
Nonoscillatory Interpolation Methods Applied to Vlasov-Based Models (2007) (79)
Structured Populations, Cell Growth and Measure Valued Balance Laws (2012) (76)
Global Classical Solutions Close to Equilibrium to the Vlasov-Euler-Fokker-Planck System (2010) (75)
Nonlinear mobility continuity equations and generalized displacement convexity (2009) (75)
A mixed finite element method for nonlinear diffusion equations (2010) (73)
Emergent behaviour in multi-particle systems with non-local interactions (2013) (72)
Long-Time Behaviour and Phase Transitions for the Mckean–Vlasov Equation on the Torus (2018) (71)
Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics (2016) (71)
A consensus-based global optimization method for high dimensional machine learning problems (2019) (66)
Asymptotic Behavior of an Initial-Boundary Value Problem for the Vlasov-Poisson-Fokker-Planck System (1997) (62)
Measure Solutions for Some Models in Population Dynamics (2011) (62)
Hardy-Littlewood-Sobolev inequalities via fast diffusion flows (2010) (61)
The asymptotic behaviour of subcritical dissipative quasi-geostrophic equations (2008) (61)
Aggregation-Diffusion Equations: Dynamics, Asymptotics, and Singular Limits (2018) (60)
Classical Solutions for a Nonlinear Fokker-Planck Equation Arising in Computational Neuroscience (2011) (59)
2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods (2006) (58)
Simulation of fluid and particles flows: Asymptotic preserving schemes for bubbling and flowing regimes (2008) (58)
Stability Analysis of Flock and Mill Rings for Second Order Models in Swarming (2013) (57)
Global weak solutions for the initial–boundary-value problems Vlasov–Poisson–Fokker–Planck System (1998) (57)
Primal Dual Methods for Wasserstein Gradient Flows (2019) (57)
Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system (2011) (55)
Equilibration Rate for the Linear Inhomogeneous Relaxation-Time Boltzmann Equation for Charged Particles (2003) (54)
Numerical Schemes of Diffusion Asymptotics and Moment Closures for Kinetic Equations (2008) (54)
On the analysis of a coupled kinetic-fluid model with local alignment forces (2013) (52)
Zoology of a Nonlocal Cross-Diffusion Model for Two Species (2017) (52)
Particle Based gPC Methods for Mean-Field Models of Swarming with Uncertainty (2017) (52)
On the initial value problem for the Vlasov-Poisson-Fokker-Planck system with initial data in Lp spaces (1995) (51)
Long-time behavior for a nonlinear fourth-order parabolic equation (2004) (50)
Refined asymptotics for the subcritical Keller-Segel system and related functional inequalities (2010) (49)
An improved version of the Hughes model for pedestrian flow (2016) (49)
DISCONTINUOUS GALERKIN METHODS FOR THE MULTI-DIMENSIONAL VLASOV–POISSON PROBLEM (2012) (47)
Equilibria of homogeneous functionals in the fair-competition regime (2016) (47)
A new interaction potential for swarming models (2012) (47)
Confinement in nonlocal interaction equations (2012) (47)
Contractivity of Transport Distances for the Kinetic Kuramoto Equation (2013) (47)
A HYBRID VARIATIONAL PRINCIPLE FOR THE KELLER-SEGEL SYSTEM IN R 2 (2015) (47)
Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction (2014) (47)
Phase Transitions in a Kinetic Flocking Model of Cucker-Smale Type (2015) (47)
A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials (2017) (46)
Contractive Metrics for a Boltzmann Equation for Granular Gases: Diffusive Equilibria (2005) (45)
Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience (2015) (44)
1D nonlinear Fokker-Planck equations for fermions and bosons (2008) (44)
Nonlinear stability of flock solutions in second-order swarming models (2013) (44)
A numerical solver for a nonlinear Fokker-Planck equation representation of neuronal network dynamics (2011) (44)
Uniqueness for Keller-Segel-type chemotaxis models (2012) (44)
Uniqueness of Bounded Solutions to Aggregation Equations by Optimal Transport Methods (2009) (44)
Finite speed of propagation in porous media by mass transportation methods (2004) (44)
Splitting Schemes and Segregation in Reaction Cross-Diffusion Systems (2017) (43)
On a nonlocal elliptic equation with decreasing nonlinearity arising in plasma physics and heat conduction (1998) (43)
Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D (2013) (43)
Mean-field limit for collective behavior models with sharp sensitivity regions (2015) (43)
A population dynamics model of cell-cell adhesion incorporating population pressure and density saturation. (2019) (42)
Geometry of minimizers for the interaction energy with mildly repulsive potentials (2016) (40)
Decay Rates in Probability Metrics Towards Homogeneous Cooling States for the Inelastic Maxwell Model (2006) (40)
Detection of a mariner-like element and a miniature inverted-repeat transposable element (MITE) associated with the heterochromatin from ants of the genus Messor and their possible involvement for satellite DNA evolution. (2006) (39)
A Numerical Study on Large-Time Asymptotics of the Lifshitz–Slyozov System (2004) (39)
On the dynamics of a fluid–particle interaction model: The bubbling regime (2010) (39)
Adaptive dynamics via Hamilton-Jacobi approach and entropy methods for a juvenile-adult model. (2007) (39)
Poincaré inequalities for linearizations of very fast diffusion equations (2002) (39)
A Direct Solver for 2D Non-Stationary Boltzmann-Poisson Systems for Semiconductor Devices: A MESFET Simulation by WENO-Boltzmann Schemes (2003) (39)
LOW AND HIGH FIELD SCALING LIMITS FOR THE VLASOV– AND WIGNER–POISSON–FOKKER–PLANCK SYSTEMS (2001) (38)
Ground states in the diffusion-dominated regime (2017) (38)
Exponential Convergence Towards Stationary States for the 1D Porous Medium Equation with Fractional Pressure (2014) (38)
Cross diffusion and nonlinear diffusion preventing blow up in the Keller-Segel model (2011) (38)
Asymptotic Behaviour and Self-Similarity for the Three Dimensional Vlasov–Poisson–Fokker–Planck System (1996) (38)
Nonlinear Stability in Lp for a Confined System of Charged Particles (2002) (37)
Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms (2016) (36)
On global minimizers of repulsive–attractive power-law interaction energies (2014) (36)
Optimal consensus control of the Cucker-Smale model (2018) (35)
On the Vlasov–Poisson–Fokker–Planck Equations with Measures in Morrey Spaces as Initial Data☆ (1997) (35)
Johann Radon Institute for Computational and Applied Mathematics (2004) (35)
On the Long-Time Behavior of the Quantum Fokker-Planck Equation (2002) (35)
Numerical Study of a Particle Method for Gradient Flows (2015) (35)
Confinement for repulsive-attractive kernels (2012) (35)
The Filippov characteristic flow for the aggregation equation with mildly singular potentials (2014) (34)
Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure (2018) (33)
Strict contractivity of the 2-wasserstein distance for the porous medium equation by mass-centering (2006) (33)
Fermi-Dirac-Fokker-Planck equation: well-posedness and long-time asymptotics (2008) (33)
GLOBAL SOLUTIONS FOR THE ONE-DIMENSIONAL VLASOV¿MAXWELL SYSTEM FOR LASER-PLASMA INTERACTION (2006) (32)
A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs (2009) (32)
Entropy-Energy inequalities and improved convergence rates for nonlinear parabolic equations (2006) (32)
Refined long-time asymptotics for some polymeric fluid flow models (2010) (31)
On the pressureless damped Euler–Poisson equations with quadratic confinement: Critical thresholds and large-time behavior (2016) (31)
A Lagrangian Scheme for the Solution of Nonlinear Diffusion Equations Using Moving Simplex Meshes (2017) (31)
Self-similar solutions and large time asymptotics for the dissipative quasi-geostrophic equation (2007) (31)
Splitting-particle methods for structured population models: Convergence and applications (2013) (30)
An Asymptotic Preserving Scheme for the Diffusive Limit of Kinetic Systems for Chemotaxis (2011) (30)
Explicit equilibrium solutions for the aggregation equation with power-law potentials (2016) (30)
Non-local kinetic and macroscopic models for self-organised animal aggregations (2014) (29)
Weak solutions for Euler systems with non‐local interactions (2015) (28)
Intermediate Asymptotics Beyond Homogeneity and Self-Similarity: Long Time Behavior for ut = Δϕ(u) (2006) (28)
Tanaka Theorem for Inelastic Maxwell Models (2006) (27)
Asymptotic Complexity in Filtration Equations (2007) (27)
A WENO-Solver for the 1D Non-Stationary Boltzmann–Poisson System for Semiconductor Devices (2002) (26)
The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime (2016) (26)
Asymptotic Fixed-Speed Reduced Dynamics for Kinetic Equations in Swarming (2012) (25)
GLOBAL-IN-TIME WEAK MEASURE SOLUTIONS, FINITE-TIME AGGREGATION AND CONFINEMENT FOR NONLOCAL INTERACTION EQUATIONS (2009) (25)
Positive Entropic Schemes for a Nonlinear Fourth-order Parabolic Equation (2002) (24)
Gradient flows for non-smooth interaction potentials (2012) (24)
Example of a displacement convex functional of first order (2009) (24)
Granular hydrodynamics and pattern formation in vertically oscillated granular disk layers (2006) (23)
Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime (2009) (23)
Computational macroscopic approximations to the one-dimensional relaxation-time kinetic system for semiconductors (2000) (23)
Nonlocal-interaction equations on uniformly prox-regular sets (2014) (23)
Contractivity of Wasserstein metrics and asymptotic profiles for scalar conservation laws (2006) (22)
A MAXIMUM ENTROPY PRINCIPLE BASED CLOSURE METHOD FOR MACRO-MICRO MODELS OF POLYMERIC MATERIALS (2008) (22)
Over-populated tails for conservative-in-the-mean inelastic Maxwell models (2008) (22)
Coastal and interfacial mixing. Laboratory experiments and satellite observations (2001) (22)
Monte Carlo gPC Methods for Diffusive Kinetic Flocking Models with Uncertainties (2019) (22)
Strong convergence towards homogeneous cooling states for dissipative Maxwell models (2008) (21)
Propagation of chaos for the Vlasov–Poisson–Fokker–Planck equation with a polynomial cut-off (2018) (21)
Adhesion and volume constraints via nonlocal interactions determine cell organisation and migration profiles. (2018) (20)
Consensus‐based sampling (2021) (20)
Mean-Field Limits: From Particle Descriptions to Macroscopic Equations (2020) (19)
A decision-making Fokker–Planck model in computational neuroscience (2011) (19)
Numerical study on hydrodynamic and quasi-neutral approximations for collisionless two-species plasmas (2004) (19)
Pedestrian Models based on Rational Behaviour (2018) (19)
Wasserstein stability estimates for covariance-preconditioned Fokker–Planck equations (2019) (19)
A P ] 9 J an 2 01 3 CONTRACTIVITY OF THE WASSERSTEIN METRIC FOR THE KINETIC KURAMOTO EQUATION (2013) (18)
Structure preserving schemes for the continuum Kuramoto model: Phase transitions (2018) (18)
Convergence of a finite volume scheme for a system of interacting species with cross-diffusion (2018) (18)
A Semi-Lagrangian Deterministic Solver for the Semiconductor Boltzmann-Poisson System (2007) (18)
On the periodic Wigner-Poisson-Fokker-Planck system (2002) (18)
Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability (2019) (18)
Long‐time asymptotics via entropy methods for diffusion dominated equations (2005) (18)
The dam problem for nonlinear Darcy's laws and Dirichlet boundary conditions. (1998) (17)
On the relativistic heat equation in one space dimension (2012) (17)
Existence of ground states for aggregation-diffusion equations (2018) (17)
Exponential Decay Towards Equilibrium for the Inhomogeneous Aizenman-Bak Model (2008) (17)
Convergence of a Particle Method for Diffusive Gradient Flows in One Dimension (2016) (16)
Equilibrium Solution to the Inelastic Boltzmann Equation Driven by a Particle Bath (2008) (16)
Deterministic kinetic solvers for charged particle transport in semiconductor devices (2007) (16)
The Ellipse Law: Kirchhoff Meets Dislocations (2017) (16)
Convergence to Equilibrium in Wasserstein Distance for Damped Euler Equations with Interaction Forces (2017) (15)
The equilibrium measure for an anisotropic nonlocal energy (2019) (15)
A particle method for the homogeneous Landau equation (2019) (15)
Some free boundary problems involving non-local diffusion and aggregation (2015) (15)
Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces (2019) (15)
Local well-posedness of the generalized Cucker-Smale model with singular kernels (2014) (15)
An entropy stable high-order discontinuous Galerkin method for cross-diffusion gradient flow systems (2018) (15)
Relative entropy method for the relaxation limit of hydrodynamic models (2019) (15)
Particle Interactions Mediated by Dynamical Networks: Assessment of Macroscopic Descriptions (2017) (15)
N-Cadherin Orchestrates Self-Organization of Neurons within a Columnar Unit in the Drosophila Medulla (2019) (14)
A Finite-Volume Method for Fluctuating Dynamical Density Functional Theory (2019) (14)
Computational macroscopic approximations to the 1-D relaxation-time kinetic system for semiconductors (1999) (14)
Measure solutions to a system of continuity equations driven by Newtonian nonlocal interactions (2018) (14)
Convergence of a linearly transformed particle method for aggregation equations (2015) (13)
Hydrodynamic limits for kinetic flocking models of Cucker-Smale type. (2019) (13)
Lagrangian schemes for Wasserstein gradient flows (2020) (12)
Convergence of a Fully Discrete and Energy-Dissipating Finite-Volume Scheme for Aggregation-Diffusion Equations (2020) (12)
Single to Double Mill Small Noise Transition via Semi-Lagrangian Finite Volume Methods (2014) (12)
Reduced fluid models for self-propelled particles interacting through alignment (2017) (12)
Deterministic Simulation of the Boltzmann-Poisson System in GaAs-Based Semiconductors (2005) (12)
Uniqueness of stationary states for singular Keller–Segel type models (2019) (12)
Condensation phenomena in nonlinear drift equations (2013) (11)
Erratum on “On Some Properties of Kinetic and Hydrodynamic Equations for Ineleastic Interactions” (2001) (11)
Segregation effects and gap formation in cross-diffusion models (2020) (11)
Rényi entropy and improved equilibration rates to self-similarity for nonlinear diffusion equations (2014) (11)
A Note on the Subcritical Two Dimensional Keller-Segel System (2012) (11)
The Fokker–Planck equation for bosons in 2D: Well-posedness and asymptotic behavior (2015) (11)
Compactly supported stationary states of the degenerate Keller-Segel system in the diffusion-dominated regime (2016) (10)
Improved entropy decay estimates for the heat equation (2008) (10)
Consensus-based Optimization and Ensemble Kalman Inversion for Global Optimization Problems with Constraints (2021) (10)
Comparison of Monte Carlo and Deterministic Simulations of a Silicon Diode (2004) (10)
Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces (2020) (10)
On the Evolution of an Angle in a Vortex Patch (2000) (10)
Nonlinear Diffusion: Geodesic Convexity is Equivalent to Wasserstein Contraction (2013) (10)
Phase Transitions and Bump Solutions of the Keller-Segel Model with Volume Exclusion (2019) (10)
Large-time behavior of discrete kinetic equations with non-symmetric interactions (2002) (10)
CONVERGENCE OF AN ENTROPIC SEMI-DISCRETIZATION FOR NONLINEAR FOKKER-PLANCK EQUATIONS IN R d (2008) (10)
A numerical study of the Navier–Stokes transport coefficients for two-dimensional granular hydrodynamics (2012) (9)
The Landau equation as a Gradient Flow (2020) (9)
On the asymptotic behavior of the gradient flow of a polyconvex functional (2009) (9)
H-theorem for electrostatic or self-gravitating Vlasov-Poisson-Fokker-Planck systems (1996) (9)
From radial symmetry to fractal behavior of aggregation equilibria for repulsive–attractive potentials (2021) (9)
L∞ ESTIMATES FOR THE JKO SCHEME IN PARABOLIC-ELLIPTIC KELLER-SEGEL SYSTEMS (2017) (9)
Component-Based Derivation of a Parallel Stiff ODE Solver Implemented in a Cluster of Computers (2002) (9)
Traveling bands, clouds, and vortices of chiral active matter. (2020) (9)
Convergence towards self-similar asymptotic behavior for the dissipative quasi-geostrophic equations (2006) (9)
Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions - Cetraro, Italy (2017) (9)
On the singularity formation and relaxation to equilibrium in 1D Fokker–Planck model with superlinear drift (2019) (8)
Boltzmann to Landau from the gradient flow perspective (2021) (8)
Self-similar solutions and large time asymptotics for the dissipative quasi-geostrophic equations (2005) (8)
Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy (2018) (8)
Fast-reaction limit for the inhomogeneous Aizenman-Bak model (2008) (8)
DSMC versus WENO-BTE: A double gate MOSFET example (2007) (8)
Computing Equilibrium Measures with Power Law Kernels (2020) (8)
SEMIDISCRETIZATION AND LONG-TIME ASYMPTOTICS OF NONLINEAR DIFFUSION EQUATIONS (2007) (8)
On long-time asymptotics for viscous hydrodynamic models of collective behavior with damping and nonlocal interactions (2017) (8)
[Fetal ovarian cyst: prenatal diagnosis, perinatal outcome and treatment. Case series and literature review]. (2012) (7)
A λ-convexity based proof for the propagation of chaos for weakly interacting stochastic particles (2020) (7)
Deterministic Numerical Simulation of 1d Kinetic Descriptions of Bipolar Electron Devices (2006) (7)
Collective search with finite perception: transient dynamics and search efficiency (2018) (7)
Approximation of the BTE by a Relaxation-time Operator: Simulations for a 50 nm-channel Si Diode (2001) (7)
On a mean field optimal control problem (2019) (7)
Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations (2015) (7)
One-dimensional Fokker-Planck reduced dynamics of decision making models in computational neuroscience (2011) (7)
Stability Analysis of Line Patterns of an Anisotropic Interaction Model (2018) (7)
A Lipschitz metric for the Hunter–Saxton equation (2016) (6)
A filtration problem with nonlinear Darcy's law and generalized boundary conditions (2000) (6)
On functional solutions for the three dimensional kinetic equations of Vlasov-type with bounded measures as initial data (1998) (6)
A hybrid variational principle for the Keller-Segel system in $\mathbb R^2$ (2014) (6)
Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation (2021) (6)
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension (2021) (6)
Exponential equilibration of genetic circuits using entropy methods (2018) (6)
A local version of the Hughes model for pedestrian flow (2015) (6)
An invariance principle for gradient flows in the space of probability measures (2020) (6)
Rigorous Derivation of a Nonlinear Diffusion Equation as Fast-Reaction Limit of a Continuous Coagulation-Fragmentation Model with Diffusion (2009) (6)
Large friction-high force fields limit for the nonlinear Vlasov–Poisson–Fokker–Planck system (2021) (6)
A Finite Volume Method for Continuum Limit Equations of Nonlocally Interacting Active Chiral Particles (2020) (5)
Local well-posedness of the generalized Cucker-Smale model (2014) (5)
Fast Diffusion leads to partial mass concentration in Keller–Segel type stationary solutions (2020) (5)
A fast regularisation of a Newtonian vortex equation (2019) (5)
Parallelization of WENO-Boltzmann Schemes for Kinetic Descriptions of 2D Semiconductor Devices (2006) (5)
Accurate Deterministic Numerical Simulation of p-n Junctions (2004) (5)
Displacement convexity for the entropy in semi-discrete non-linear Fokker–Planck equations (2016) (5)
Aggregation Equation with Growing at Infinity Attractive-repulsive Potentials (2012) (5)
High-order well-balanced finite volume schemes for hydrodynamic equations with nonlocal free energy (2020) (5)
NONLINEAR STABILITY IN L P FOR SOLUTIONS OF THE VLASOV-POISSON SYSTEM FOR CHARGED PARTICLES (2001) (5)
Asymptotic behaviour for the frictionless Vlasov-Poisson-Fokker-Planck system (1995) (5)
A proof of the mean-field limit for $\lambda$-convex potentials by $\Gamma$-Convergence (2019) (5)
L^$\infty$ estimates for the jko scheme in parabolic-elliptic keller-segel systems (2017) (5)
Phase Transitions for Nonlinear Nonlocal Aggregation-Diffusion Equations (2019) (5)
A Hybrid Mass Transport Finite Element Method for Keller–Segel Type Systems (2017) (5)
The role of a strong confining potential in a nonlinear Fokker–Planck equation (2018) (5)
STABILITY ANALYSIS OF FLOCK AND MILL RINGS FOR 2ND ORDER MODELS IN SWARMING (cid:6) (2014) (5)
Bound-Preserving Finite-Volume Schemes for Systems of Continuity Equations with Saturation (2021) (5)
Global Minimizers of a Large Class of Anisotropic Attractive-Repulsive Interaction Energies in 2D (2022) (5)
Dissipative measure-valued solutions to the Euler-Poisson equation (2021) (4)
Parallelization of Implicit-Explicit Runge-Kutta Methods for Cluster of PCs (2005) (4)
Decay rates for a class of diffusive-dominated interaction equations (2011) (4)
Free Energies and the Reversed HLS Inequality (2018) (4)
Noise-driven bifurcations in a neural field system modelling networks of grid cells (2021) (4)
Adhesion and volume constraints via nonlocal interactions lead to cell sorting (2017) (4)
Stability of stochastic gene regulatory networks using entropy methods (2016) (4)
Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics (2019) (3)
On the pressureless damped Euler-Poisson equations with non-local forces: Critical thresholds and large-time behavior (2016) (3)
Numerical study of Bose–Einstein condensation in the Kaniadakis–Quarati model for bosons (2019) (3)
Random batch particle methods for the homogeneous Landau equation (2021) (3)
A simplified voltage-conductance kinetic model for interacting neurons and its asymptotic limit (2022) (3)
Enhancement of damaged-image prediction through Cahn–Hilliard image inpainting (2020) (3)
Equilibria of an anisotropic nonlocal interaction equation: Analysis and numerics (2019) (3)
Exploiting the multilevel parallelism and the problem structure in the numerical solution of stiff ODEs (2002) (3)
Reduced fluid models for self-propelled populations, interacting through alignement (2017) (3)
A Local Continuum Model of Cell-Cell Adhesion (2022) (3)
Functional solutions for the Vlasov-Poisson system (1997) (3)
Example of a First Order Displacement Convex Functional (3)
Nonlocal approximation of nonlinear diffusion equations (2023) (3)
Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility (2020) (3)
The mean field limit of stochastic differential equation systems modelling grid cells (2021) (3)
Evolution of a structured cell population endowed with plasticity of traits under constraints on and between the traits (2022) (3)
Pressureless Euler with nonlocal interactions as a singular limit of degenerate Navier-Stokes system (2019) (3)
Variational Asymptotic Preserving Scheme for the Vlasov-Poisson-Fokker-Planck System (2020) (3)
Recent development in kinetic theory of granular materials: analysis and numerical methods (2020) (3)
Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel (2021) (3)
Parallel integration of hydrodynamical approximations of the Boltzmann equation for rarefied gases on a cluster of computers (2004) (3)
Uniform in Time L∞$L^{\infty }$-Estimates for Nonlinear Aggregation-Diffusion Equations (2017) (3)
Finite-time condensation in 1D Fokker-Planck model for bosons (2019) (2)
Infinite-time concentration in Aggregation–Diffusion equations with a given potential (2021) (2)
The Child–Langmuir limit for semiconductors : a numerical validation (2002) (2)
Contractivity and asymptotics in wasserstein for viscous nonlinear scalar conservations laws (2007) (2)
Fluid models with phase transition for kinetic equations in swarming (2019) (2)
On a 1-d Granular Media Immersed in a Uid (2007) (2)
A second-order numerical method for the aggregation equations (2018) (2)
A LIPSCHITZ METRIC FOR THE CAMASSA–HOLM EQUATION (2019) (2)
INTERPOLATION INEQUALITIES IN W(S) AND CARRÉ DU CHAMP METHODS (2019) (2)
Complexity Reduction of Rate-Equations Models for Two-Choice Decision-Making (2013) (2)
Analysis of Spherical Shell Solutions for the Radially Symmetric Aggregation Equation (2020) (2)
Controlling Swarms toward Flocks and Mills (2021) (2)
Segregation and Gap Formation in Cross-Diffusion Models (2019) (2)
Recent Trends in Partial Differential Equations (2006) (2)
Some alternative methods for hydrodynamic closures to dissipative kinetic models (2009) (2)
A New Machine Learning Forecasting Algorithm Based on Bivariate Copula Functions (2021) (2)
Coarse graining of a Fokker–Planck equation with excluded volume effects preserving the gradient flow structure (2020) (2)
On the Exponential Convergence Rate for a Non-Gradient Fokker-Planck Equation in Computational Neuroscience (2015) (1)
R\^ole of kinetic transport coefficients for hydrodynamic simulations of granular flow (2012) (1)
Fermi-Dirac-Fokker-Planck Equation: Well-posedness (2013) (1)
Integrating Multiple Implementations and Structure Exploitation in the Component-Based Design of Parallel ODE Solvers (2003) (1)
Pitch Marking Study towards High Quality in Concatenative Based Speech Synthesis (2018) (1)
A positivity-preserving scheme for fluctuating hydrodynamics (2022) (1)
Hydrodynamics at the Navier-Stokes level applied to fast, transient, supersonic granular flows (2012) (1)
An Optimal Mass Transport Method for Random Genetic Drift (2020) (1)
Degenerate Cahn-Hilliard systems: From nonlocal to local (2023) (1)
Noise-driven bifurcations in a nonlinear Fokker–Planck system describing stochastic neural fields (2022) (1)
A blob method for diffusion (2019) (1)
Quantifying tissue growth, shape and collision via continuum models and Bayesian inference (2023) (0)
Exponential equilibration of genetic circuits using entropy methods (2018) (0)
A Note on the Subcritical Two Dimensional Keller-Segel System (2011) (0)
Classical and Quantum Mechanical Models of Many-Particle Systems Organised (2011) (0)
Contractivity of Transport Distances for the Kinetic Kuramoto Equation (2014) (0)
Ground states in the diffusion-dominated regime (2018) (0)
R\^ole of the Navier-Stokes transport coefficients for hydrodynamic simulations of granular flow (2012) (0)
A static memory sparse spectral method for time-fractional PDEs in arbitrary dimensions (2023) (0)
Existence of Compactly Supported Global Minimisers for the Interaction Energy (2015) (0)
Report on BIRS workshop , Emergent behaviour in multi-particle systems with non-local interactions 22-27 January , 2012 (2013) (0)
Convergence to Equilibrium in Wasserstein Distance for Damped Euler Equations with Interaction Forces (2018) (0)
PR ] 2 4 Fe b 20 17 ON A COMPLETENESS PROBLEM FROM THE PAPER “ CONTRACTIVE PROBABILITY METRICS AND ASYMPTOTIC BEHAVIOR OF DISSIPATIVE KINETIC EQUATIONS ” BY (2018) (0)
Asymptotic behaviour of the Vlasov-Poisson-Fokker-Planck system in bounded domains (1996) (0)
Entropies , the Geometry of Nonlinear Flows , and their Applications ( 18 w 5069 ) (2018) (0)
Partial mass concentration for fast-diffusions with non-local aggregation terms (2023) (0)
A ballistic-hydrodynamic model for transport in nano-devices (2000) (0)
Mathematical modelling of collagen fibres rearrangement during the tendon healing process (2021) (0)
On the evolution of a singular vortex patch in a two-dimensional incompressible fluid flow (1999) (0)
Nonlinear noisy integrate and fire neuron models: delay and excitatory-inhibitory populations (2015) (0)
New Results - Aggregation Kinetics (2015) (0)
Minimizers of 3D anisotropic interaction energies (2022) (0)
Differential Equations arising from Organising Principles in Biology (2019) (0)
Structure preserving primal dual methods for gradient flows with nonlinear mobility transport distances (2023) (0)
Multiscale Analysis of Self-Organization in Biology (2009) (0)
Induced vortical structures in the Balearic Sea: SAR images analysis and laboratory experiments (2003) (0)
Special Session 3: Mathematics of Social Systems (2012) (0)
Interpreting systems of continuity equations in spaces of probability measures through PDE duality (2022) (0)
Mini course: Interaction-Driven Dynamics for Collective Behavior: Derivation, Model Hierarchies and Pattern Stability (2015) (0)
Existence of radial global smooth solutions to the pressureless Euler-Poisson equations with quadratic confinement (2022) (0)
Recent trends in partial differential equations: UIMP-RSME Santaló summer school, recent trends in partial differential equations, Universidad Internacional Menéndez Pelayo, Santander, Spain (2006) (0)
Book of Abstracts Hydrodynamic models in PDEs (2018) (0)
Numerical simulation of nonlinear continuity equations by evolving diﬀeomorphisms (2016) (0)
Minimizing interaction energies (2014) (0)
Collaborative Learning by the Use of Social Networks and Web Community Radio 2.0 (2015) (0)
A finite volume scheme for stochastic PDEs in the context of fluctuating hydrodynamics (2019) (0)
Minor Planet Observations [I88 Fuensanta de Martos] (2011) (0)
Nonlinear diffusions: entropies, asymptotic behavior and applications (2006) (0)
Nonlinear Diffusions and Entropy Dissipation: From Geometry to Biology (2010) (0)
Particle Interactions Mediated by Dynamical Networks: Assessment of Macroscopic Descriptions (2017) (0)
Measure Solutions for Some Models in Population Dynamics (2012) (0)
WELL-BALANCED FINITE VOLUME SCHEMES FOR HYDRODYNAMIC (2020) (0)
The Mean Field Ensemble Kalman Filter: Near-Gaussian Setting (2022) (0)
FedCBO: Reaching Group Consensus in Clustered Federated Learning through Consensus-based Optimization (2023) (0)
New Results - Modeling in computational neurosciences (2011) (0)
EQUILIBRIUM SOLUTION TO THE INELASTIC BOLTZMANN EQUATION DRIVEN BY A PARTICLES THERMAL BATH BOLTZMANN (2016) (0)
Convergence of a particle method for a regularized spatially homogeneous Landau equation (2022) (0)
Mini-Workshop: Innovative Trends in the Numerical Analysis and Simulation of Kinetic Equations (2019) (0)
FIRST ORDER DISPLACEMENT CONVEX FUNCITONALS 3 (2008) (0)
Editorial: Year of Mathematical Biology 2018 (2017) (0)
Can the clocks tick together despite the noise? Stochastic simulations and analysis (2022) (0)
Recent trends in partial differential equations : UIMP-RSME Santaló summer school, July 12-16, 2004 Universidad Internacional Menéndez Pelayo, Santander, Spain (2006) (0)
The Ensemble Kalman Filter in the Near-Gaussian Setting (2022) (0)
Keller-Segel, Fast Diffusion and Functional Inequalities (2011) (0)
Convergence of a linearly transformed particle method for aggregation equations (2018) (0)
A P ] 2 4 M ay 2 01 5 CRITICAL THRESHOLDS IN 1 D EULER EQUATIONS WITH NONLOCAL FORCES (2020) (0)
Fine Prediction of Energy Power Production in Wind Farms (2007) (0)
Special issue on mathematical models for collective dynamics (2020) (0)
0 20 40 32 v 1 1 6 A pr 2 00 2 On the Long Time Behavior of the Quantum Fokker-Planck equation (2008) (0)
EULER EQUATIONS WITH NONLOCAL FORCES (2015) (0)
GEOCLAD: A Software Platform for the Multiphase Analysis and Design of Geothermal Power Systems (2020) (0)
Modellingof shock waves and clusteringin hydrodynamic simulationsof granular gases (2012) (0)

This paper list is powered by the following services:

Other Resources About José A. Carrillo

What Schools Are Affiliated With José A. Carrillo?

José A. Carrillo is affiliated with the following schools:

José A. Carrillo's Academic­Influence.com Rankings

Why Is José A. Carrillo Influential?

José A. Carrillo's Published Works

Published Works

Other Resources About José A. Carrillo

What Schools Are Affiliated With José A. Carrillo?

José A. Carrillo's AcademicInfluence.com Rankings