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

共 50 条

[1] Stokes and Navier-Stokes equations with nonhomogeneous boundary conditions
Raymond, J. -P.
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2007, 24 (06): : 921 - 951
[2] Inviscid limits for the Navier-Stokes equations with Navier friction boundary conditions
Iftimie, D
Planas, G
NONLINEARITY, 2006, 19 (04) : 899 - 918
[3] Stokes and Navier-Stokes equations with Navier boundary conditions
Acevedo Tapia, P.
Amrouche, C.
Conca, C.
Ghosh, A.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 285 : 258 - 320
[4] Steady Navier-Stokes system with nonhomogeneous boundary conditions in the axially symmetric case
Korobkov, Mikhail
Pileckas, Konstantin
Russo, Remigio
COMPTES RENDUS MECANIQUE, 2012, 340 (03): : 115 - 119
[5] On the Navier-Stokes equation with slip boundary conditions of friction type
Saidi, F.
MATHEMATICAL MODELLING AND ANALYSIS, 2007, 12 (03) : 389 - 398
[6] On the global null controllability of a Navier-Stokes system with Navier slip boundary conditions
Chapouly, Marianne
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 247 (07) : 2094 - 2123
[7] Some results on the Navier-Stokes equations with Navier boundary conditions
Berselli, Luigi C.
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2010, 1 (01): : 1 - 75
[8] Navier-Stokes Equations with Navier Boundary Conditions for an Oceanic Model
Hoang, Luan T.
Sell, George R.
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2010, 22 (03) : 563 - 616
[9] A Study of the Navier-Stokes Equations with the Kinematic and Navier Boundary Conditions
Chen, Gui-Qiang
Qian, Zhongmin
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2010, 59 (02) : 721 - 760
[10] On the Navier-Stokes system with the Coulomb friction law boundary condition
Balilescu, Loredana
San Martin, Jorge
Takahashi, Takeo
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (01):

← 1 2 3 4 5 →