17 citations · 27 across the 11 of their papers we have counts for
12 papers
A Kinetic Theory Approach To Ordered Fluids: Direct Simulation Monte Carlo Methods
José A. Carrillo, Patrick E. Farrell, Andrea Medaglia +1
We present a direct simulation Monte Carlo (DSMC) method for the kinetic theory of ordered fluids recently introduced by the authors. The microscopic constituents of these fluids c…
Fokker-Planck equations on discrete infinite graphs
Jose A. Carrillo, Xinyu Wang
We study the gradient flow structure and long-time behavior of Fokker-Planck equations (FPE) on infinite graphs, along with a Talagrand-type inequality in this setting. We begin by…
A Kinetic Theory Approach to Ordered Fluids
José A. Carrillo, Patrick E. Farrell, Andrea Medaglia +1
We develop a unified kinetic theory for ordered fluids, which systematically extends the phase space with the appropriate generalized angular momenta. Our theory yields a uniquely…
Spatial segregation across travelling fronts in individual-based and continuum models for the growth of heterogeneous cell populations
José A. Carrillo, Tommaso Lorenzi, Fiona R. Macfarlane
We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells prefe…
Fluid relaxation approximation of the Busenberg--Travis cross-diffusion system
J. A. Carrillo, X. Chen, B. Du +1
The Busenberg--Travis cross-diffusion system for segregating populations is approximated by the compressible Navier--Stokes--Korteweg equations on the torus, including a density-de…
Boundary spike-layer solutions of the singular Keller-Segel system: existence, profiles and stability
Jose A. Carrillo, Jingyu Li, Zhi-An Wang +1
This paper is concerned with the boundary-layer solutions of the singular Keller-Segel model proposed by Keller-Segel (1971) in a multi-dimensional domain, where the zero-flux boun…