Global existence of strong solutions to the Cauchy problem for a 1D radiative gas
Global existence of strong solutions to the Cauchy problem for a 1D radiative gas
复制标题
一维辐射气体柯西问题的全局强解的存在
DOI：
10.1016/j.jmaa.2008.05.066
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发表时间：
2008-10
影响因子：
1.3
通讯作者：
Wang, Jing
中科院分区：
文献类型：
--
作者：
Xie, Feng;Wang, Jing
We consider a one-dimensional radiation hydrodynamics model in the case of the equilibrium diffusion approximation which is described by the compressible Navier–Stokes system with the additional terms in the pressure and internal energy respectively, which embody the effect of radiation. Under the physical growth conditions on the heat conductivity, we establish the existence and uniqueness of strong solutions to the Cauchy problem with large initial data, where the initial density and velocity may have differing constant states at infinity. Moreover, we show that if there is no vacuum in the initial density, then, the vacuum and concentration of the density will never occur in any finite time.
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DOI：
10.1007/978-0-387-49319-0
发表时间：
1941
期刊：
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影响因子：
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作者：
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DOI：
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发表时间：
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期刊：
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影响因子：
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