Decay rates to the planar rarefaction waves for a model system of the radiating gas in n dimensions

https://doi.org/10.1016/j.jde.2008.02.023Get rights and content
Under an Elsevier user license
open archive

Abstract

In this paper, we study the asymptotic decay rates to the planar rarefaction waves to the Cauchy problem for a hyperbolic–elliptic coupled system called as a model system of the radiating gas in Rn (n=3,4,5) if the initial perturbations corresponding to the planar rarefaction waves are sufficiently small in (H2L1W2,6) (Rn). The analysis is based on the Lp-energy method and several special interpolation inequalities.

MSC

35L65
35B40
35B45

Keywords

Hyperbolic–elliptic coupled system
Planar rarefaction waves
Lp-energy method
A priori estimates
Asymptotic behavior

Cited by (0)