Global smooth solutions for the compressible viscous and heat-conductive gas
Global smooth solutions for the compressible viscous and heat-conductive gas
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DOI：
10.1090/s0033-569x-2011-01218-0
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发表时间：
2011-05
影响因子：
0.8
通讯作者：
Yuming Qin;Guili Hu;Taige Wang
中科院分区：
文献类型：
--
作者：
Yuming Qin;Guili Hu;Taige Wang
本文讨论了一类自引力辐射反应气体一维运动方程组整体光滑解的存在性。我们证明了对于任意大的光滑初始数据，所考虑的问题允许唯一的全局光滑（经典）的解决方案。我们的结果改进了Umehara和Tani的那些结果（[J. Differential Equations，234（2007），439-463; Proc. Japan Acad.，A（2008），123-128]）以及Qin、Hu、Huang和Ma。
This paper is concerned with the global existence of smooth solutions to a system of equations describing one-dimensional motion of a self-gravitating, radiative and chemically reactive gas. We have proved that for any arbitrary large smooth initial data, the problem under consideration admits a unique globally smooth (classical) solution. Our results have improved those results by Umehara and Tani ([J. Differential Equations, 234(2007), 439-463; Proc. Japan Acad., 84, Ser. A(2008), 123-128]) and also by Qin, Hu, Huang, and Ma.