Nonlinear stability of large amplitude viscous shock wave for general viscous gas
文献类型：期刊论文
| 作者 | He, Lin1; Huang, Feimin2,3
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2020-07-05 |
| 卷号 | 269期号:2页码:1226-1242 |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2020.01.004 |
| 英文摘要 | In the present paper, it is shown that the large amplitude viscous shock wave is nonlinearly stable for isentropic Navier-Stokes equations, in which the pressure could be general and includes gamma-law, and the viscosity coefficient is a smooth function of density. The strength of shock wave could be arbitrarily large. The proof is given by introducing a new variable, which can formulate the original system into a new one, and the elementary energy method introduced in [21]. (C) 2020 Published by Elsevier Inc. |
| 资助项目 | Fundamental Research Funds for the Central Universities[YJ201962] ; NSFC[11371349] ; NSFC[11688101] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000530702100005 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51433]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Huang, Feimin |
| 作者单位 | 1.Sichuan Univ, Coll Math, Chengdu 610065, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | He, Lin,Huang, Feimin. Nonlinear stability of large amplitude viscous shock wave for general viscous gas[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2020,269(2):1226-1242. |
| APA | He, Lin,&Huang, Feimin.(2020).Nonlinear stability of large amplitude viscous shock wave for general viscous gas.JOURNAL OF DIFFERENTIAL EQUATIONS,269(2),1226-1242. |
| MLA | He, Lin,et al."Nonlinear stability of large amplitude viscous shock wave for general viscous gas".JOURNAL OF DIFFERENTIAL EQUATIONS 269.2(2020):1226-1242. |
入库方式： OAI收割
来源：数学与系统科学研究院
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