Existence of smooth solutions for the compressible barotropic Navier-Stokes-Korteweg system without increasing pressure law

doi:10.1002/mma.6252

CSpace > 应用数学研究所

	Existence of smooth solutions for the compressible barotropic Navier-Stokes-Korteweg system without increasing pressure law
	Huang, Feimin1 ; Hong, Hakho 2; Shi, Xiaoding 3
	2020-01-30
发表期刊	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
页码	24
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.
关键词	compressible Navier-Stokes-Korteweg system existence uniqueness Van der Waals gas
DOI	10.1002/mma.6252
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000510137100001
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50799
专题	应用数学研究所
通讯作者	Hong, Hakho
作者单位	1.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing, Peoples R China 2.State Acad Sci, Inst Math, Pyongyang, North Korea 3.Beijing Univ Chem Technol, Sch Sci, Dept Math, Beijing, Peoples R China
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.