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

Yongqin Liu; Shuichi Kawashima

doi:10.3934/cpaa.2011.10.209

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

Yongqin Liu, Shuichi Kawashima^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 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 language	English
Pages (from-to)	209-223
Number of pages	15
Journal	Communications on Pure and Applied Analysis
Volume	10
Issue number	1
DOIs	https://doi.org/10.3934/cpaa.2011.10.209
Publication status	Published - 2011 Jan
Externally published	Yes

Keywords

Asymptotic behavior
Initial value problem
Radiating gas

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.3934/cpaa.2011.10.209

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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.",

keywords = "Asymptotic behavior, Initial value problem, Radiating gas",

author = "Yongqin Liu and Shuichi Kawashima",

year = "2011",

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AB - 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.

KW - Asymptotic behavior

KW - Initial value problem

KW - Radiating gas

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

Abstract

Keywords

ASJC Scopus subject areas

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