Global existence of a radiative Euler system coupled to an electromagnetic field-Reference-Cited by-同舟云学术

Global existence of a radiative Euler system coupled to an electromagnetic field

Published:2018-03-21 Issue:1 Volume:8 Page:1158-1170
ISSN:2191-9496
Container-title:Advances in Nonlinear Analysis
language:
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Author:

Blanc Xavier¹,Ducomet Bernard²,Nečasová Šárka³

Affiliation:

1. Laboratoire Jacques-Louis Lions, UMR 7598, UPMC, CNRS, Université Paris Diderot, Sorbonne Paris Cité, 75205 Paris, France

2. Université Paris-Est, LAMA (UMR 8050), UPEMLV, UPEC, CNRS, 61 avenue du Général de Gaulle, 94010 Créteil Cedex 10 Paris, France

3. Institute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, 11567 Praha 1, Czech Republic

Abstract

Abstract We study the Cauchy problem for a system of equations corresponding to a singular limit of radiative hydrodynamics, namely, the 3D radiative compressible Euler system coupled to an electromagnetic field. Assuming smallness hypotheses for the data, we prove that the problem admits a unique global smooth solution and study its asymptotics.

Funder

Agence Nationale de la Recherche

Grantová Agentura České Republiky

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/downloadpdf/journals/anona/8/1/article-p1158.xml

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