CONTRACTIVE METRICS FOR SCALAR CONSERVATION LAWS-Reference-Cited by-同舟云学术

CONTRACTIVE METRICS FOR SCALAR CONSERVATION LAWS

Published:2005-03 Issue:01 Volume:02 Page:91-107
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

BOLLEY FRANÇOIS¹,BRENIER YANN²,LOEPER GRÉGOIRE³

Affiliation:

1. Ecole normale supérieure de Lyon, Umpa, 46, allée d'Italie, F-69364 Lyon Cedex 07, France

2. Laboratoire J. A. Dieudonné, UMR CNRS 6621, Université de Nice Sophia-Antipolis, Parc Valrose, 06108 Nice Cedex 2, France

3. Fields Institute & University of Toronto, Ecole Polytechnique Fédérale de Lausanne, SB-IMA, 10015 Lausanne, Canada

Abstract

We consider non-decreasing entropy solutions to 1-d scalar conservation laws and show that the spatial derivatives of such solutions satisfy a contraction property with respect to the Wasserstein distance of any order. This result extends the L1-contraction property shown by Kružkov.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219891605000397

Reference6 articles.

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