Asymptotic behavior of solutions to a model system of a radiating gas

Yongqin Liu, Shuichi Kawashima

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

In this paper we focus on the initial value problem for a hyperbolicelliptic coupled system of a radiating gas in multi-dimensional space. By using a time-weighted energy method, we obtain the global existence and optimal decay estimates of solutions. Moreover, we show that the solution is asymptotic to the linear diffusion wave which is given in terms of the heat kernel.

Original languageEnglish
Pages (from-to)209-223
Number of pages15
JournalCommunications on Pure and Applied Analysis
Volume10
Issue number1
DOIs
Publication statusPublished - 2011 Jan 1
Externally publishedYes

Fingerprint

Linear Diffusion
Decay Estimates
Initial value problems
Energy Method
Heat Kernel
Asymptotic Behavior of Solutions
Coupled System
Global Existence
Initial Value Problem
Gases
Model
Gas
Hot Temperature

Keywords

  • Asymptotic behavior
  • Initial value problem
  • Radiating gas

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Asymptotic behavior of solutions to a model system of a radiating gas. / Liu, Yongqin; Kawashima, Shuichi.

In: Communications on Pure and Applied Analysis, Vol. 10, No. 1, 01.01.2011, p. 209-223.

Research output: Contribution to journalArticle

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