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 | |
| Publication status | Published - Jan 1 2011 |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
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Cite this
Liu, Y., & Kawashima, S. (2011). Asymptotic behavior of solutions to a model system of a radiating gas. Communications on Pure and Applied Analysis, 10(1), 209-223. https://doi.org/10.3934/cpaa.2011.10.209