Stability of propagated fronts in scalar balance laws

Orateur:	Louis Garéneaux (Karlsruhe Institute of Technology)
Localisation:
Type:	Groupe de travail équations aux dérivées partielles
Site:	UPEC
Salle:	UPEC P1-P15
Date de début:	14/11/2024 - 13:45
Date de fin:	14/11/2024 - 14:45

Scalar balance laws are advection-reaction equations, that appear either in biology or physics when one measures the variation of a quantity over time. In this presentation, we will focus on specific solutions of these equations, namely propagated waves that connect two distinct constant states. A large variety of such waves can be constructed, and we will discuss the stability of some of them. It is a joint work with L. M. Rodrigues.