Méthodes variationnelles appliquées en biologie et en économie

Résumé

This Habilitation `a diriger des recherche thesis is devoted to recent results obtained through variational methods for biological and economical emergence phenomena. Entropy methods in relation with functional inequalities and optimal transport theory have proven to be extremely relevant and smart tools to prove various results of existence, uniqueness, regularity or asymptotic behaviour.

Mots-clés

biology; chemotaxis; economics; Nash equilibrium; optimal transport; entropy methods; functional inequalities; parabolic partial differential equation; variational methods; homogeneisation; numerical analysis;