Decay rates to the planar rarefaction waves for a model system of the radiating gas in n dimensions
Decay rates to the planar rarefaction waves for a model system of the radiating gas in n dimensions
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DOI：
10.1016/j.jde.2008.02.023
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发表时间：
2008-05
影响因子：
2.4
通讯作者：
Wenliang Gao;Lizhi Ruan;Changjiang Zhu
中科院分区：
文献类型：
--
作者：
Wenliang Gao;Lizhi Ruan;Changjiang Zhu
在本文中，我们研究了双曲-椭圆耦合系统（称为 Rn（n=3,4,5）中的辐射气体模型系统）的柯西问题的平面稀疏波的渐近衰减率，前提是（H2∩L1∩W2,6）（Rn）中对应于平面稀疏波的初始扰动足够小。该分析基于 Lp 能量方法和几个特殊的插值不等式。
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 (H2∩L1∩W2,6) (Rn). The analysis is based on the Lp-energy method and several special interpolation inequalities.