ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A MODEL SYSTEM OF A RADIATING GAS

作者:Liu Yongqin*; Kawashima Shuichi
来源:Communications on Pure and Applied Analysis, 2011, 10(1): 209-223.
DOI:10.3934/cpaa.2011.10.209

摘要

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.

  • 出版日期2011-1