AGROCAMPUS OUEST (Institut Supérieur des Sciences Agronomiques, Agroalimentaires, Horticoles et du Paysage - 65, rue de St Brieuc - CS 84215 - 35042 Rennes cedex - France)
Abstract : In the present contribution we discuss the dynamic stability of traveling wave solutions-including constant equilibria-to first order scalar hyperbolic balance laws. Our discussion is based on the recent works of the author and L.M. Rodrigues. Our aim here is to provide an overview of the results therein in a homogenized framework as well as key ingredients of the proofs.
https://hal.archives-ouvertes.fr/hal-02971018
Contributor : Vincent Duchene <>
Submitted on : Monday, October 19, 2020 - 10:43:20 AM Last modification on : Friday, October 23, 2020 - 3:08:03 AM Long-term archiving on: : Wednesday, January 20, 2021 - 6:27:11 PM
Vincent Duchêne. Stability and instability of traveling wave solutions to scalar balance laws. Mathematical Analysis in Fluid and Gas Dynamics, Jul 2019, Kyoto, Japan. ⟨hal-02971018⟩