The relative entropy method for the stability of intermediate shock waves ; the rich case

Denis Serre (1) , Alexis F Vasseur (2)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées
2 Departement of Mathematics [Austin]

M.-J. Kang and one of us [2] developed a new version of the relative entropy method, which is efficient in the study of the long-time stability of extreme shocks. When a system of conservation laws is rich, we show that this can be adapted to the case of intermediate shocks.

Domaines: Equations aux dérivées partielles [math.AP]; Mathématiques générales [math.GM]; Mécanique des fluides [physics.class-ph]

Denis Serre, Alexis F Vasseur. The relative entropy method for the stability of intermediate shock waves ; the rich case. Discrete and Continuous Dynamical Systems - Series A, 2016, 36 (8), pp.4569-4577. ⟨ensl-01402385⟩