Compressible Navier-Stokes system with general inflow-outflow boundary data on piecewise regular domains

被引：6

作者：

Choe, H. J. ^{[1
]}

Novotny, A. ^{[2
]}

Yang, M. ^{[3
]}

机构：

[1] Yonsei Univ, Ctr Mathemat Anal & Comput, 50 Yonsei Ro, Seoul 03722, South Korea

[2] Univ Sud Toulon Var, IMATH, EA 2134, BP 20132, F-83957 La Garde, France

[3] Yonsei Univ, Ctr Math Anal & Comput, 50 Yonsei Ro, Seoul 03722, South Korea

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2018年 / 98卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

compressible Navier-Stokes system; inhomogeneous boundary conditions; large inflow; large outflow; piecewise regular Lipschitz domains; renormalized continuity equation; weak solutions; EQUATIONS; EXISTENCE; FLUID; FLOW;

D O I：

10.1002/zamm.201800016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence of weak solutions to the compressible Navier-Stokes system in barotropic regime (adiabatic coefficient >3/2, in three dimensions, >1 in two dimensions) with large velocity prescribed at the boundary and large density prescribed at the inflow boundary of a bounded Lipschitz piecewise regular domain, without any restriction neither on the shape of the inflow/outflow boundaries nor on the shape of the domain. The result applies also to pressure laws that are non-monotone on a compact portion of the interval [0, infinity). We prove existence of weak solutions to the compressible Navier-Stokes system in barotropic regime (adiabatic coefficient >3/2, in three dimensions, >1 in two dimensions) with large velocity prescribed at the boundary and large density prescribed at the inflow boundary of a bounded Lipschitz piecewise regular domain, without any restriction neither on the shape of the inflow/outflow boundaries nor on the shape of the domain. The result applies also to pressure laws that are non-monotone on a compact portion of the interval [0, infinity).

引用

页码：1447 / 1471

页数：25

共 21 条

[1]

Bresch D., 2015, 150704629V1 ARXIV

[2]

Chang T., 2017, PREPRINT

[3] ORDINARY DIFFERENTIAL-EQUATIONS, TRANSPORT-THEORY AND SOBOLEV SPACES [J].