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

Pages: 209 - 223, Volume 10, Issue 1, January 2011

doi:10.3934/cpaa.2011.10.209       Abstract        References        Full Text (418.1K)       Related Articles

Yongqin Liu - Faculty of Mathematics, Kyushu University, Fukuoka 819-0395, Japan (email)
Shuichi Kawashima - Faculty of Mathematics, Kyushu University, Fukuoka 819-0395, Japan (email)

Abstract: In this paper we focus on the initial value problem for a hyperbolic-elliptic 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:  Radiating gas, initial value problem, asymptotic behavior.
Mathematics Subject Classification:  35B40, 35M20.

Received: January 2010;      Revised: April 2010;      Published: November 2010.

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