Navier-Stokes Equations with Nonhomogeneous Boundary Conditions in a Bounded Three-Dimensional Domain

被引：19

作者：

Girinon, Vincent ^{[1
]}

机构：

[1] Univ Toulouse 3, Inst Math, UMR CNRS 5219, F-31062 Toulouse 9, France

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2011年 / 13卷 / 03期

关键词：

Compressible Navier-Stokes equations; inflow-outflow boundary conditions; global existence of weak solutions;

D O I：

10.1007/s00021-009-0018-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Following the ideas developed in Girinon (Annales de l'Institut Poincar,. Analyse Non Lin,aire 26:2025-2053, 2009), we prove the existence of a weak solution to Navier-Stokes equations describing the isentropic flow of a gas in a bounded region, Omega subset of R(3), with nonhomogeneous Dirichlet boundary conditions on partial derivative Omega.

引用

页码：309 / 339

页数：31

共 13 条

[1]

Amann H., 1990, GRUYTER STUDIES MATH, V13

[2]

[Anonymous], 1994, Springer Tracts in Natural Philosophy

[3]

Feireisl E., 2001, Comment. Math. Univ. Carol, V42, P83

[4]

Feireisl E., 2003, OXFORD LECT SERIES M, V26

[5] On the Existence of Globally Defined Weak Solutions to the Navier-Stokes Equations [J].

Feireisl, Eduard ;

Novotny, Antonin ;

Petzeltova, Hana .

JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2001, 3 (04) :358-392

[6]

GIRINON V, 2008, THESIS U TOULOUSE 3

[7] Navier-Stokes equations with nonhomogeneous boundary conditions in a convex bi-dimensional domain [J].

Girinon, Vincent .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2009, 26 (05) :2025-2053

[8]

LIONS P. L., 1998, OXFORD LECT SERIES M, V10

[9]

Lions P.-L., 1996, Mathematical Topics in Fluid Mechanics: Volume 2: Compressible Models, V2

[10]

Lions P. L., 1996, OXFORD LECT SERIES M, V10

← 1 2 →