Global Solution to the One-Dimensional Equations for a Self- Gravitating Viscous Radiative and Reactive Gas(Mathematical Analysis in Fluid and Gas Dynamics : A conference in honor of Professor Tai-Ping Liu on his 60th Birthday)
Global Solution to the One-Dimensional Equations for a Self- Gravitating Viscous Radiative and Reactive Gas(Mathematical Analysis in Fluid and Gas Dynamics : A conference in honor of Professor Tai-Ping Liu on his 60th Birthday)
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DOI：
10.1016/j.jde.2006.09.023
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发表时间：
2006-05
期刊：
影响因子：
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通讯作者：
M. Umehara;A. Tani
中科院分区：
文献类型：
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作者：
M. Umehara;A. Tani
本文考虑一个描述一维自引力气体介质在辐射和反应作用下运动的方程组。通过引入拉格朗日质量坐标，将自由边界问题转化为具有显式引力项的固定区域内的问题。基于基本的局部存在性结果和先验估计，我们可以构造一个经典的唯一整体解。
In this paper we consider a system of equations describing a motion of a self-gravitating one-dimensional gaseous medium in the presence of radiation and reacting process. By introducing Lagrangian mass coordinate, this free-boundary problem is reduced to the problem in a fixed domain with an explicit gravitational term. Based on the fundamental local existence result and a priori estimates, we can construct a classical unique global solution.