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Mathematics
UK
2026

D-Index & Metrics

Mathematics

D-Index
74
Citations
20087
World Ranking
218
National Ranking
13

Research.com Recognitions

  • 2026 - Research.com Mathematics in United Kingdom Leader Award

Overview

José A. Carrillo is affiliated with the University of Oxford in the United Kingdom. Their research primarily focuses on the field of Mathematics, with a concentration on Applied Mathematics, Modeling and Simulation, Statistical and Nonlinear Physics, Mathematical Physics, and Computational Mechanics.

The main topics of their work include Mathematical Biology Tumor Growth, Nonlinear Partial Differential Equations, Gas Dynamics and Kinetic Theory, Geometric Analysis and Curvature Flows, Advanced Mathematical Modeling in Engineering, Advanced Thermodynamics and Statistical Mechanics, and Mathematical and Theoretical Epidemiology and Ecology Models.

José A. Carrillo has published extensively, with a significant number of articles appearing in venues such as arXiv (Cornell University), SIAM Journal on Mathematical Analysis, SSRN Electronic Journal, Nonlinear Analysis, and the Journal of Computational Physics.

Some of their recent publications include:

  • A consensus-based global optimization method for high dimensional machine learning problems, 2020, ESAIM Control Optimisation and Calculus of Variations
  • Primal Dual Methods for Wasserstein Gradient Flows, 2021, Foundations of Computational Mathematics
  • Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability, 2020, Proceedings of the London Mathematical Society

Frequent coauthors in José A. Carrillo's research include:

  • David Gómez-Castro
  • Carles Falcó
  • Rafael Bailo
  • Susanne Solem
  • Serafim Kalliadasis

Best Publications

  • Entropy Solutions for Nonlinear Degenerate Problems

    José Carrillo

  • Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates

    José A. Carrillo;Robert J. McCann;Cédric Villani

  • Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model

    José A. Carrillo;M. Fornasier;Jesús Rosado;Giuseppe Toscani

  • The mathematics teacher’s specialised knowledge (MTSK) model*

    José Carrillo-Yañez;Nuria Climent;Miguel Montes;Luis C. Contreras

  • Particle, kinetic, and hydrodynamic models of swarming

    José A. Carrillo;Massimo Fornasier;Giuseppe Toscani;Francesco Vecil

  • Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities

    J. A. Carrillo;A. Jüngel;P. A. Markowich;G. Toscani

  • Contractions in the 2-Wasserstein Length Space and Thermalization of Granular Media

    José A. Carrillo;Robert J. McCann;Cédric Villani

  • Asymptotic L1-decay of solutions of the porous medium equation to self-similarity

    J. A. Carrillo;G. Toscani

  • Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations

    J. A. Carrillo;M. Difrancesco;Alessio Figalli;T. Laurent

  • A well-posedness theory in measures for some kinetic models of collective motion

    José A. Cañizo;José A. Carrillo;Jesús Rosado

  • Infinite time aggregation for the critical Patlak-Keller-Segel model in ℝ2

    Adrien Blanchet;José A. Carrillo;Nader Masmoudi

  • On some properties of kinetic and hydrodynamic equations for inelastic interactions

    A. V. Bobylev;J. A. Carrillo;J. A. Carrillo;I. M. Gamba

  • Volume effects in the Keller-Segel model : energy estimates preventing blow-up

    Vincent Calvez;José A. Carrillo

  • DOUBLE MILLING IN SELF-PROPELLED SWARMS FROM KINETIC THEORY

    José A. Carrillo;M. R. D’Orsogna;V. Panferov

  • Stochastic Mean-Field Limit: Non-Lipschitz Forces & Swarming

    François Bolley;José Alfredo Cañizo;José Carrillo

  • Blow-up in multidimensional aggregation equations with mildly singular interaction kernels !

    Andrea L Bertozzi;José A Carrillo;Thomas Laurent

  • The derivation of swarming models: Mean-field limit and Wasserstein distances

    José Antonio Carrillo;Young Pil Choi;Maxime Hauray

  • Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak-Keller-Segel Model

    Adrien Blanchet;Vincent Calvez;José A. Carrillo

  • Critical mass for a Patlak–Keller–Segel model with degenerate diffusion in higher dimensions

    Adrien Blanchet;José Antonio Carrillo;Philippe Laurençot

  • A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure

    Jose A Carrillo;Alina Chertock;Yanghong Huang

  • Uniqueness of Renormalized Solutions of Degenerate Elliptic-Parabolic Problems

    José Carrillo;Petra Wittbold

Frequent Co-Authors

Giuseppe Toscani
Giuseppe Toscani University of Pavia
Chi-Wang Shu
Chi-Wang Shu Brown University
Juan Luis Vázquez
Juan Luis Vázquez Autonomous University of Madrid
Irene M. Gamba
Irene M. Gamba The University of Texas at Austin
Philippe Laurençot
Philippe Laurençot Toulouse Mathematics Institute
Vincent Calvez
Vincent Calvez Centre national de la recherche scientifique, CNRS
Benoît Perthame
Benoît Perthame Sorbonne University
Serafim Kalliadasis
Serafim Kalliadasis Imperial College London
Lorenzo Pareschi
Lorenzo Pareschi Heriot-Watt University

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