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).
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页码：1238 / 1278
页数：41
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