Jose Antonio Carrillo

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University of Oxford

United Kingdom

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Recent Grants

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Spectral element methods for fractional differential equations, with applications in applied analysis and medical imaging

Open Date: 2021-01-01

Close Date: 2023-12-31

Grant: Close

Nonlocal PDEs for Complex Particle Dynamics: Phase Transitions, Patterns and Synchronization

Open Date: 2020-10-01

Close Date: 2025-09-30

Grant: Close

Nonlocal Partial Differential Equations: entropies, gradient flows, phase transitions and applications

Open Date: 2017-10-01

Close Date: 2020-09-01

Grant: Close

Nonlinear Nonlocal Aggregation-Diffusion Partial Differential Equations and Applications

Open Date: 2013-04-02

Close Date: 2016-04-01

Grant: Close

Applied Partial Differential Equations in Physics and Biology

Open Date: 2012-10-01

Close Date: 2017-09-01

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2022

Collaborators (6)

Daniel Cohen

Assistant Professor

Princeton University

UNITED STATES

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Jakub Skrzeczkowski

University of Warsaw

POLAND

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Jeremy S.H. Wu

Hedrick Adjunct Assistant Professor

University of California, Los Angeles

UNITED STATES

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Mattia Zanella

Associate Professor

University of Pavia

ITALY

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Rafael Bailo

Prof. at Eindhoven University of Technology

Eindhoven University of Technology

NETHERLANDS

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Ruth Baker

University of Oxford

UNITED KINGDOM

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Jose Antonio Carrillo

Research Interests

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Contact this professor

Recent Grants

Articles (20)

Uncertainty Quantification for the Homogeneous Landau–Fokker–Planck Equation via Deterministic Particle Galerkin Methods

Existence of ground states for free energies on the hyperbolic space

Fluid Relaxation Approximation of the Busenberg–Travis Cross-Diffusion System

Spatial Segregation Across Travelling Fronts in Individual-Based and Continuum Models for the Growth of Heterogeneous Cell Populations

A Nonlocal-to-Local Approach to Aggregation-Diffusion Equations

Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion

A new paradigm considering multicellular adhesion, repulsion and attraction represent diverse cellular tile patterns

Nonlinear partial differential equations in neuroscience: From modeling to mathematical theory

Degenerate Cahn–Hilliard systems: From nonlocal to local

Convergence of Boundary Layers of Chemotaxis Models with Physical Boundary Conditions I: Degenerate Initial Data

Quantifying tissue growth, shape and collision via continuum models and Bayesian inference

The Mean Field Limit of Stochastic Differential Equation Systems Modeling Grid Cells

Existence of Radial Global Smooth Solutions to the Pressureless Euler–Poisson Equations with Quadratic Confinement

Bound-Preserving Finite-Volume Schemes for Systems of Continuity Equations with Saturation

Can the Clocks Tick Together Despite the Noise? Stochastic Simulations and Analysis

A Local Continuum Model of Cell-Cell Adhesion

An invariance principle for gradient flows in the space of probability measures

From radial symmetry to fractal behavior of aggregation equilibria for repulsive–attractive potentials

Evolution of a structured cell population endowed with plasticity of traits under constraints on and between the traits

Noise-driven bifurcations in a neural field system modelling networks of grid cells

Collaborators (6)

Daniel Cohen

Jakub Skrzeczkowski

Jeremy S.H. Wu

Mattia Zanella

Rafael Bailo

Ruth Baker

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