The Incompressible Navier-Stokes System with Time-Dependent Robin-Type Boundary Conditions

被引：6

作者：

Monniaux, Sylvie ^{[1
]}

Ouhabaz, El Maati ^{[2
]}

机构：

[1] Aix Marseille Univ, I2M, Cent Marseille, UMR 7373, F-13453 Marseille, France

[2] Univ Bordeaux, CNRS UMR 5251, Inst Math Bordeaux IMB, F-33405 Bordeaux, France

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2015年 / 17卷 / 04期

关键词：

Navier-Stokes system; Time-dependent boundary conditions; Non-autonomous maximal regularity; Boundary value problems; INITIAL-VALUE PROBLEM; LIPSCHITZ-DOMAINS; RIEMANNIAN-MANIFOLDS; MAXIMAL REGULARITY; EQUATIONS; ROUGHNESS; NONSMOOTH; OPERATOR; FORMS;

D O I：

10.1007/s00021-015-0227-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the incompressible 3D Navier-Stokes system in a l(1,1) bounded domain or a bounded convex domain Omega with a non penetration condition nu.u = 0 at the boundary partial derivative Omega together with a time-dependent Robin boundary condition of the type nu x curl u = beta(t)u on partial derivative Omega admits a solution with enough regularity provided the initial condition is small enough in an appropriate functional space.

引用

页码：707 / 722

页数：16

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