COMPRESSIBLE NAVIER-STOKES SYSTEM WITH GENERAL INFLOW-OUTFLOW BOUNDARY DATA

被引：27

作者：

Chang, T. ^{[1
]}

Jin, B. J. ^{[2
]}

Novotny, A. ^{[3
]}

机构：

[1] Yonsei Univ, CMAC, Seoul 03722, South Korea

[2] Mokpo Natl Univ, Dept Math Educ, Muan 534729, South Korea

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

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2019年 / 51卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

compressible Navier-Stokes system; inhomogeneous boundary conditions; weak solutions; renormalized continuity equation; large inflow; large outflow; GLOBAL EXISTENCE; EQUATIONS; PRESSURE;

D O I：

10.1137/17M115089X

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 equations in a barotropic regime (adiabatic coefficient gamma > 3/2 in three dimensions, gamma > 1 in two dimensions) with large velocity prescribed at the boundary and large density prescribed at the inflow boundary of a bounded sufficiently smooth domain, without any restriction on either the shape of the inflow/outflow boundaries or the shape of the domain. The result applies also to pressure laws that are nonmonotone on a compact portion of the interval [0, infinity).

引用

页码：1238 / 1278

页数：41

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