Date/heure
19 décembre 2017
10:45 - 11:45
Oratrice ou orateur
Hirokazu Ninomiya
Catégorie d'évènement Séminaire Équations aux Derivées Partielles et Applications (Nancy)
Résumé
When several stable states coexist, propagation phenomena are often observed in many fields including dissipative situations. To characterize the universal profiles of these phenomena, traveling wave solutions and entire solutions play important roles. Here traveling wave solution is meant by a solution of a partial differential equation that propagates with a constant speed, while it maintains its shape in space, and an entire solution is a solution defined for all space and time variables. In this talk we focus on the Allen-Cahn-Nagumo equation, which is a single reaction diffusion equation with bistable nonlinearity and explain how to construct entire solutions and the relation between traveling wave solutions and entire solutions.