The strong relaxation limit of the ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
The strong relaxation limit of the multidimensional Euler equations
Author(s) :
Lin, Chunjin [Auteur]
College of Computer and Information Engineering [Hohai]
Coulombel, Jean-François [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
College of Computer and Information Engineering [Hohai]
Coulombel, Jean-François [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Journal title :
Nonlinear Differential Equations and Applications
Pages :
447-461
Publisher :
Springer Verlag
Publication date :
2013-06
ISSN :
1021-9722
Keyword(s) :
Global existence
Initial value problem
Euler equations
Porous media equation
Relaxation
Initial value problem
Euler equations
Porous media equation
Relaxation
HAL domain(s) :
Mathématiques [math]/Equations aux dérivées partielles [math.AP]
English abstract : [en]
This paper is devoted to the analysis of global smooth solutions to the multidimensional isentropic Euler equations with sti relaxation. We show that the asymptotic behavior of the global smooth solution is governed by the ...
Show more >This paper is devoted to the analysis of global smooth solutions to the multidimensional isentropic Euler equations with sti relaxation. We show that the asymptotic behavior of the global smooth solution is governed by the porous media equation as the relaxation time tends to zero. The results are proved by combining some classical energy estimates with the so-called Shizuta-Kawashima condition.Show less >
Show more >This paper is devoted to the analysis of global smooth solutions to the multidimensional isentropic Euler equations with sti relaxation. We show that the asymptotic behavior of the global smooth solution is governed by the porous media equation as the relaxation time tends to zero. The results are proved by combining some classical energy estimates with the so-called Shizuta-Kawashima condition.Show less >
Language :
Anglais
Popular science :
Non
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