Solvability of Navier-Stokes Equations with Leak Boundary Conditions

被引：1

作者：

Rong An~(1

机构：

来源：

Acta Mathematicae Applicatae Sinica | 2009年 / 25卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Navier-stokes equations; leak boundary; variational inequalities; solvability; continuous dependence;

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

070104 ;

摘要：

The time-dependent Navier-Stokes equations with leak boundary conditions are investigated in this paper.The equivalent variational inequality is derived,and the weak and strong solvabilities of this variational inequality are obtained by the Galerkin approximation method and the regularized method.In addition,the continuous dependence property of solutions on given initial data is established,from which the strong solution is unique.

引用

页码：225 / 234

页数：10

共 50 条

[1] Solvability of Navier-Stokes equations with leak boundary conditions
Rong An
Yuan Li
Kai-tai Li
Acta Mathematicae Applicatae Sinica, English Series, 2009, 25 : 225 - 234
[2] Solvability of Navier-Stokes equations with leak boundary conditions
An, Rong
Li, Yuan
Li, Kai-tai
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2009, 25 (02): : 225 - 234
[3] SOLVABILITY OF THE NAVIER-STOKES EQUATIONS ON MANIFOLDS WITH BOUNDARY
PRIEBE, V
MANUSCRIPTA MATHEMATICA, 1994, 83 (02) : 145 - 159
[4] 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
[5] 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
[6] On the local solvability of free boundary problem for the Navier-Stokes equations
Padula M.
Solonnikov V.A.
Journal of Mathematical Sciences, 2010, 170 (4) : 522 - 553
[7] SOLVABILITY OF THE FREE BOUNDARY VALUE PROBLEM OF THE NAVIER-STOKES EQUATIONS
Bae, Hantaek
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 29 (03) : 769 - 801
[8] BOUNDARY-CONDITIONS FOR NAVIER-STOKES EQUATIONS
GUPTA, MM
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (06): : A591 - A591
[9] Vorticity boundary conditions for Navier-Stokes equations
Souli, M
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 134 (3-4) : 311 - 323
[10] Navier-Stokes equations with slip boundary conditions
Guo, Ben-Yu
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2008, 31 (05) : 607 - 626

← 1 2 3 4 5 →