GLOBAL NONLINEAR STABILITY OF RAREFACTION WAVES FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH TEMPERATURE AND DENSITY DEPENDENT TRANSPORT COEFFICIENTS
文献类型：期刊论文
| 作者 | Huang, Bingkang1,2; Wang, Lusheng1; Xiao, Qinghua3 |
| 刊名 | KINETIC AND RELATED MODELS
 |
| 出版日期 | 2016-09-01 |
| 卷号 | 9期号:3页码:469-514 |
| 关键词 | One-dimensional compressible Navier-Stokes equations temperature and density dependent transport coefficients global nonlinear stability of rarefaction waves large initial data |
| 英文摘要 | We study the nonlinear stability of rarefaction waves to the Cauchy problem of one-dimensional compressible Navier-Stokes equations for a viscous and heat conducting ideal polytropic gas when the transport coefficients depend on both temperature and density. When the strength of the rarefaction waves is small or the rarefaction waves of different families are separated far enough initially, we show that rarefaction waves are nonlinear stable provided that (gamma - 1).H-3(R)-norm of the initial perturbation is suitably small with gamma > 1 being the adiabatic gas constant. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | ONE-DIMENSIONAL MOTION ; HYPERBOLIC CONSERVATION-LAWS ; BOUNDARY-VALUE-PROBLEMS ; POLYTROPIC IDEAL-GAS ; LARGE-TIME BEHAVIOR ; VISCOUS-GAS ; UNBOUNDED-DOMAINS ; MODEL SYSTEM ; SHOCK-WAVES |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000376485000004 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/9367]  |
| 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.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China 2.Wuhan Univ, Computat Sci Hubei Key Lab, Wuhan 430072, Peoples R China 3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Bingkang,Wang, Lusheng,Xiao, Qinghua. GLOBAL NONLINEAR STABILITY OF RAREFACTION WAVES FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH TEMPERATURE AND DENSITY DEPENDENT TRANSPORT COEFFICIENTS[J]. KINETIC AND RELATED MODELS,2016,9(3):469-514. |
| APA | Huang, Bingkang,Wang, Lusheng,&Xiao, Qinghua.(2016).GLOBAL NONLINEAR STABILITY OF RAREFACTION WAVES FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH TEMPERATURE AND DENSITY DEPENDENT TRANSPORT COEFFICIENTS.KINETIC AND RELATED MODELS,9(3),469-514. |
| MLA | Huang, Bingkang,et al."GLOBAL NONLINEAR STABILITY OF RAREFACTION WAVES FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH TEMPERATURE AND DENSITY DEPENDENT TRANSPORT COEFFICIENTS".KINETIC AND RELATED MODELS 9.3(2016):469-514. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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