Rigorous Derivation of Population Cross-Diffusion Systems from Moderately Interacting Particle Systems

From Nonlocal to Classical Shigesada--Kawasaki--Teramoto Systems: Triangular Case with Bounded Coefficients

(2020) Ayman Moussa   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Segregation effects and gap formation in cross-diffusion models

(2020) Martin Burger et al.   INTERFACES AND FREE BOUNDARIES

Mean-field models for segregation dynamics

(2020) MARTIN BURGER et al.   EUROPEAN JOURNAL OF APPLIED MATHEMATICS

Scaling limit of two-component interacting Brownian motions

(2018) Insuk Seo   ANNALS OF PROBABILITY

Modeling of a diffusion with aggregation: rigorous derivation and numerical simulation

(2018) Li Chen et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

About the entropic structure of detailed balanced multi-species cross-diffusion equations

(2018) Esther S. Daus et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Entropic structure and duality for multiple species cross-diffusion systems

(2017) Thomas Lepoutre et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

On the Entropic Structure of Reaction-Cross Diffusion Systems

(2015) L. Desvillettes et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Non local Lotka-Volterra system with cross-diffusion in an heterogeneous medium

(2014) Joaquin Fontbona et al.   JOURNAL OF MATHEMATICAL BIOLOGY