<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

BD entropy and Bernis–Friedman entropy

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 27 Nov 2018Embargo end date: 01 Jan 2018 France Publisher:Cellule MathDoc/Centre MersenneJournal:Comptes Rendus. Mathématique, volume 357, pages 1-6 (eissn: 1778-3569,

Authors: Bresch, Didier; Colin, Mathieu; Msheik, Khawla; Noble, Pascal; Song, Xi;

doi: 10.1016/j.crma.2018.11.009 , 10.48550/arxiv.1811.02794

arXiv: http://arxiv.org/abs/1811.02794

BD entropy and Bernis–Friedman entropy

- Summary
- Subjects
- Related research
  (1)
- Metrics

Abstract

In this note, we propose in the full generality a link between the BD entropy introduced by D. Bresch andB. Desjardins for the viscous shallow-water equations and the Bernis-Friedman (called BF) dissipative entropyintroduced to study the lubrications equations. Dierent dissipative entropies are obtained playing with the dragterms on the viscous shallow water equations. It helps for instance to prove global existence of nonnegativeweak solutions for the lubrication equations starting from the global existence of nonnegative weak solutions forappropriate viscous shallow-water equations.

Country

France

Related Organizations

Université Savoie Mont Blanc
France
University of Toulouse II - Le Mirail
France
Grenoble Alpes University
France
French Institute for Research in Computer Science and Automation
France
INSA de Toulouse
France

View all View all

Keywords

[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], FOS: Physical sciences, Mathematical Physics (math-ph), Dynamical Systems (math.DS), 510, Mathematics - Analysis of PDEs, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], Mathematics - Dynamical Systems, Mathematical Physics, Analysis of PDEs (math.AP)

1 Research products, page 1 of 1

Lubrication and shallow-water systems Bernis-Friedman and BD entropies
2020IsAmongTopNSimilarDocuments

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	2
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average