Asymptotic Behavior of Solutions to a Model System of a Radiating Gas
Analysis of PDEs
2010-03-16 v1
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
Cite
@article{arxiv.1003.2888,
title = {Asymptotic Behavior of Solutions to a Model System of a Radiating Gas},
author = {Yongqin Liu and Shuichi Kawashima},
journal= {arXiv preprint arXiv:1003.2888},
year = {2010}
}
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21 pages