12 noon - 1pm
Thursday 26 April 2018

Rigorous derivation of the nonlocal reaction-diffusion FitzHugh-Nagumo system

Gregory Faye (Toulouse) will be speaking.

39 AA 04
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Speakers
  • Gregory Faye (Toulouse)

Abstract

We introduce a spatially extended transport kinetic FitzHugh-Nagumo model with forced local interactions and prove that its hydrodynamic limit converges towards the classical nonlocal reaction-diffusion FitzHugh-Nagumo system.

Our approach is based on a relative entropy method, where the macroscopic quantities of the kinetic model are compared with the solution to the nonlocal reaction-diffusion system. This approach allows to make the rigorous link between kinetic and reaction-diffusion models. This joint work with Joachim Crevat and Francis Filbet.