Global Existence and blowup phenomenon for a 1D radiation hydrodynamics model problem

被引：4
作者：
Rohde, Christian [2 ]
Xie, Feng [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Univ Stuttgart, Inst Angew Anal & Numer Simulat, D-70569 Stuttgart, Germany
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 05期
关键词：
Burgers' equation; radiation transfer equation with scattering; global existence; blowup phenomenon; GAS; SYSTEM; ENTROPY; WAVES;
D O I：
10.1002/mma.1593
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the global existence of classical solutions and blowup phenomena for a spatially one-dimensional radiation hydrodynamics model problem, which consists of a scalar Burgers-type equation coupled with a nonlocal advection-reaction equation for radiation intensity. The model can be seen as an extension of the well-known Hamer model that includes additionally the effects of scattering.
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页码：564 / 573
页数：10
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