Global solvability and asymptotic behavior of a free boundary problem for the one-dimensional viscous radiative and reactive gas
文献类型：期刊论文
| 作者 | Jiang, Jie1; Zheng, Songmu2 |
| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
 |
| 出版日期 | 2012-12-01 |
| 卷号 | 53期号:12 |
| 英文摘要 | In this paper, we study a Neumann and free boundary problem for the one-dimensional viscous radiative and reactive gas. We prove that under rather general assumptions on the heat conductivity kappa, for any arbitrary large smooth initial data, the problem admits a unique global classical solution. Our global existence results improve those results by Umehara and Tani ["Global solution to the one-dimensional equations for a self-gravitating viscous radiative and reactive gas," J. Differ. Equations 234(2), 439-463 (2007); " Global solvability of the free-boundary problem for one-dimensional motion of a self-gravitating viscous radiative and reactive gas," Proc. Jpn. Acad., Ser. A: Math. Sci. 84(7), 123-128 (2008)] and by Qin, Hu, and Wang [" Global smooth solutions for the compressible viscous and heat-conductive gas," Q. Appl. Math. 69(3), 509-528 (2011)]. Moreover, we analyze the asymptotic behavior of the global solutions to our problem, and we prove that the global solution will converge to an equilibrium as time goes to infinity. This is the result obtained for this problem in the literature for the first time. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4770049] |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Physics, Mathematical |
| 研究领域[WOS] | Physics |
| 关键词[WOS] | NAVIER-STOKES EQUATIONS ; LARGE-TIME BEHAVIOR ; REAL-GAS ; UNIVERSAL ATTRACTORS ; GASEOUS STARS ; MOTION ; FLUID ; MAGNETOHYDRODYNAMICS ; EXISTENCE ; DYNAMICS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000312832800075 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1546]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei Province, Peoples R China 2.Fudan Univ, Inst Math, Shanghai 200433, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jiang, Jie,Zheng, Songmu. Global solvability and asymptotic behavior of a free boundary problem for the one-dimensional viscous radiative and reactive gas[J]. JOURNAL OF MATHEMATICAL PHYSICS,2012,53(12). |
| APA | Jiang, Jie,&Zheng, Songmu.(2012).Global solvability and asymptotic behavior of a free boundary problem for the one-dimensional viscous radiative and reactive gas.JOURNAL OF MATHEMATICAL PHYSICS,53(12). |
| MLA | Jiang, Jie,et al."Global solvability and asymptotic behavior of a free boundary problem for the one-dimensional viscous radiative and reactive gas".JOURNAL OF MATHEMATICAL PHYSICS 53.12(2012). |
入库方式： OAI收割
来源：武汉物理与数学研究所
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