Decay of entropy solutions of a scalar conservation law beyond a stationary ergodic setting
type: Item
instance of: scholarly article
title: Decay of entropy solutions of a scalar conservation law beyond a stationary ergodic setting
author: Jean Silva
author: Luís F. Salvino
published in: Journal of Differential Equations
publication date: 2022-12-21T00:00:00Z
review text: The authors study the long time behavior of entropy solutions to a scalar conservation law \[ \partial_t u+\operatorname{div}\, f(u)=0 \] with generally random initial data having some ``self-averaging'' properties. Under a standard nondegeneracy condition on the flux the authors establish the long time decay property of entropy solutions in the Besicovitch seminorm. This extends results known in the case of almost periodic initial data.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35B15
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 7635316
zbMATH Keywords: scalar conservation laws
zbMATH Keywords: entropy solutions
zbMATH Keywords: decay property
zbMATH Keywords: Birkhoff ergodic theorem
zbMATH Keywords: stochastic deformation
zbMATH Keywords: ergodic algebras
reviewed by: Evgeniy Panov
MaRDI profile type: Publication
full work available at URL: j.jde.2022.09.012
OpenAlex ID: W4296848603
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DOI: 10.1016/J.JDE.2022.09.012
description: scientific article; zbMATH DE number 7635316