ON THE NONHOMOGENEOUS NAVIER-STOKES SYSTEM WITH NAVIER FRICTION BOUNDARY CONDITIONS

被引：19

作者：

Ferreira, Lucas C. F. ^{[1
]}

Planas, Gabriela ^{[1
]}

Villamizar-Roa, Elder J. ^{[2
]}

机构：

[1] Univ Estadual Campinas, Dept Matemat, Inst Matemat Estat & Computacao Cient, BR-13083859 Campinas, SP, Brazil

[2] Univ Ind Santander, Escuela Matemat, Bucaramanga 678, Colombia

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2013年 / 45卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

nonhomogeneous Navier-Stokes equations; Navier boundary conditions; inviscid limit; INCOMPRESSIBLE FLUIDS; VANISHING VISCOSITY; INVISCID LIMIT; WEAK SOLUTIONS; EQUATIONS; EXISTENCE; DENSITY;

D O I：

10.1137/12089380X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We address the issue of existence of weak solutions for the nonhomogeneous Navier-Stokes system with Navier friction boundary conditions allowing the presence of vacuum zones and assuming rough conditions on the data. We also study the convergence, as the viscosity goes to zero, of weak solutions for the nonhomogeneous Navier-Stokes system with Navier friction boundary conditions to the strong solution of the Euler equations with variable density, provided that the initial data converge in L-2 to a smooth enough limit.

引用

页码：2576 / 2595

页数：20

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