Nonlinear cross-diffusion systems and gradient flows

Seminar series

PDE CDT Lunchtime Seminar

Date

Thu, 18 Jan 2018
12:00

Location

Speaker

Maria Bruna

Organisation

Oxford University

We will discuss nonlinear cross-diffusion models describing cell motility of two distinct populations. The continuum PDE model is derived systematically from a stochastic discrete model consisting of impenetrable diffusing spheres. In this talk, I will outline the derivation of the cross-diffusion model, discuss some of its features such as the gradient-flow structure, and show numerical results comparing the discrete stochastic system to the derived model.