Existence of smooth solutions for the compressible barotropic Navier-Stokes-Korteweg system without increasing pressure law
文献类型：期刊论文
| 作者 | Huang, Feimin2 ; Hong, Hakho3; Shi, Xiaoding1
|
| 刊名 | MATHEMATICAL METHODS IN THE APPLIED SCIENCES
 |
| 出版日期 | 2020-01-30 |
| 页码 | 24 |
| 关键词 | compressible Navier-Stokes-Korteweg system existence uniqueness Van der Waals gas |
| ISSN号 | 0170-4214 |
| DOI | 10.1002/mma.6252 |
| 英文摘要 | This paper is concerned with a barotropic model of capillary compressible fluids describing the dynamics of a liquid-vapor mixture with diffuse interphase, in the case of general pressure law including Van der Waals gas. In the Sobolev spaces as close as possible to the physical energy spaces, we first prove local in time existence and uniqueness of the smooth solutions to the Cauchy problem in Rd(d=2,3), based on the estimates of a linearized system and the contraction mapping principle. Next, we show that there exists a global unique solution for the initial boundary value problem with periodic conditions in torus Td(d=2,3), by using a continuation argument of local solution. Notice that it is one of the main difficulties that pressure p is not increasing function of density rho. |
| 资助项目 | National Center forMathematics and Interdisciplinary Sciences, AMSS, CAS ; NSFC[11371349] ; National Natural Sciences Foundation of China[11671027] ; National Natural Sciences Foundation of China[11471321] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000510137100001 |
| 出版者 | WILEY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50798]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Hong, Hakho |
| 作者单位 | 1.Beijing Univ Chem Technol, Sch Sci, Dept Math, Beijing, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing, Peoples R China 3.State Acad Sci, Inst Math, Pyongyang, North Korea |
| 推荐引用方式 GB/T 7714 | Huang, Feimin,Hong, Hakho,Shi, Xiaoding. Existence of smooth solutions for the compressible barotropic Navier-Stokes-Korteweg system without increasing pressure law[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2020:24. |
| APA | Huang, Feimin,Hong, Hakho,&Shi, Xiaoding.(2020).Existence of smooth solutions for the compressible barotropic Navier-Stokes-Korteweg system without increasing pressure law.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,24. |
| MLA | Huang, Feimin,et al."Existence of smooth solutions for the compressible barotropic Navier-Stokes-Korteweg system without increasing pressure law".MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2020):24. |
入库方式： OAI收割
来源：数学与系统科学研究院
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