

The Stability-compactness Method and Qualitative Properties of Nonlinear Elliptic Equations
By Henry Berestycki
Appears in collection : Mathematical Modeling of Organization in Living Matter / Modèles mathématiques et organisation de la matière vivante
I present an overview of mathematical modeling of self-organization and wave propagation in some micro-organisms. The course is structured around several case studies, focussing on explicit computations of traveling waves in structured PDE. The course begins with an introductory seminar-like lecture by Tâm Mignot about self-organization processes in myxobacteria.