Yongqin Liu, Shuichi Kawashima
Published 2010-03-15Version 1
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.
Asymptotic behavior of global solutions of the $u_t=Δu + u^{p}$
Well-posedness and asymptotic behavior of a multidimensional model of morphogen transport
Asymptotic behavior of solutions to the $σ_k$-Yamabe equation near isolated singularities
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