Date/heure
16 octobre 2018
10:45 - 11:45
Oratrice ou orateur
Haruki Umakoshi
Catégorie d'évènement Séminaire Équations aux Derivées Partielles et Applications (Nancy)
Résumé
In this talk, we consider the global existence and large time behavior of solutions for reaction diffusion systems coming from reversible chemistry. First, we introduce the fundamental structures these systems hold, namely nonnegativity of solutions and total mass control. It is well known that, under homogeneous boundary conditions and with linear diffusions, these structures assure global existence of weak solutions if the nonlinearities are a priori bounded in $L^1$. Recently, this result was extended up to the case where diffusion operators are nonlinear (2017, Laamri-Pierre). We will recall these results and describe a slight improvement. It is mainly derived from the entropy structure. Next, we consider the large time behavior for these systems.