On some singular limits in damped radiation hydrodynamics-Reference-Cited by-同舟云学术

On some singular limits in damped radiation hydrodynamics

Published:2016-06 Issue:02 Volume:13 Page:249-271
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

Blanc X.¹,Ducomet B.²,Nečasová S.³

Affiliation:

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

2. CEA, DAM, DIF, F-91297 Arpajon, France

3. Institute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Praha 1, Czech Republic

Abstract

We consider the Cauchy problem for the 3D Euler system with damping coupled to radiation through two singular limits. Assuming suitable smallness hypotheses for the data, we prove that each of these two problems admits a unique smooth solution.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219891616500089

Reference21 articles.

1. Large Time Asymptotics for Partially Dissipative Hyperbolic Systems

2. Asymptotic analysis of fluid models for the coupling of radiation and hydrodynamics

3. The Cauchy Problem for the Euler Equations for Compressible Fluids

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