Long-time behavior in scalar conservation laws

2008/12/18 by Debussche, Arnaud, Vovelle, Julien
#35B40 #35L65 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.0812.3537

Abstract

We consider the long-time behavior of the entropy solution of a first-order scalar conservation law on a Riemannian manifold. In the case of the Torus, we show that, under a weak property of genuine non-linearity of the flux, the solution converges to its average value in L^p, 1≤ p

Related

• Long‐Time Behavior, Invariant Measures, and Regularizing Effects for Stochastic Scalar Conservation Laws
• On decay of entropy solutions to multidimensional conservation laws in the case of perturbed periodic initial data
• On decay of entropy solutions to multidimensional conservation laws
• L¹-Contraction Property of Entropy Solutions for Scalar Conservation Laws with Minimal Regularity Assumptions on the Flux
• On the structure of weak solutions to scalar conservation laws with finite entropy production