On the Vanishing Viscosity Limit of 3D Navier-Stokes Equations under Slip Boundary Conditions in General Domains

被引：49

作者：

Berselli, Luigi Carlo ^{[1
]}

Spirito, Stefano ^{[2
]}

机构：

[1] Univ Pisa, Dipartimento Matemat Applicata U Dini, I-56127 Pisa, Italy

[2] Univ Aquila, Dipartimento Matemat, I-67010 Coppito, AQ, Italy

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2012年 / 316卷 / 01期

关键词：

EULER EQUATIONS; INVISCID LIMIT; PERTURBATION-THEORY; SINGULAR LIMITS; WELL-POSEDNESS; FLUID; REGULARITY; EXISTENCE; FLOW; HALF;

D O I：

10.1007/s00220-012-1581-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the vanishing-viscosity limit for the Navier-Stokes equations with certain slip-without-friction boundary conditions in a bounded domain with non-flat boundary. In particular, we are able to show convergence in strong norms for a solution starting with initial data belonging to the special subclass of data with vanishing vorticity on the boundary. The proof is obtained by smoothing the initial data and by a perturbation argument with quite precise estimates for the equations of the vorticity and for that of the curl of the vorticity.

引用

页码：171 / 198

页数：28

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