Asymptotic Behavior of Solutions to a Model System of a Radiating Gas

Details Asymptotic Behavior of Solutions to a Model System of a Radiating Gas Asymptotic Behavior of Solutions to a Model System of a Radiating Gas

2010-03-15

arxiv.org/abs/1003.2888v1

Mathematics

Analysis of PDEs

21 pages

Scientific paper

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.

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