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

doi:10.1002/mma.6252

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	Existence of smooth solutions for the compressible barotropic Navier-Stokes-Korteweg system without increasing pressure law
	Huang, Feimin 2; Hong, Hakho 3; Shi, Xiaoding 1
刊名	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
	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
出版者	WILEY
WOS记录号	WOS:000510137100001
内容类型	期刊论文
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.