$L^2$-type Lyapunov functions for hyperbolic scalar conservation laws

Denis Serre (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

We prove the decay of the L 2-distance from the solution u(t) of a hyperbolic scalar conservation law, to some convex, flow-invariant target sets.

Mots clés: AMS classification : 35L65; 35B35 Conservation laws; Lyapunov functions; shock waves

Domaines: Equations aux dérivées partielles [math.AP]

Denis Serre. $L^2$-type Lyapunov functions for hyperbolic scalar conservation laws. 2021. ⟨ensl-03242800⟩