Vorticity Leray-α model for Navier-Stokes equations with viscosity depending on the distance to the wall

被引：0

作者：

Leloup, Guillaume ^{[1
,2
]}

机构：

[1] Univ Rennes, CNRS, IRMAR, UMR 6625, Rennes, France

[2] Univ Rennes, Odyssey Team, INRIA Rennes, Rennes, France

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2024年 / 75卷 / 03期

关键词：

Fluid mechanics; Navier-Stokes equations; Leray-a models; Vorticity; GLOBAL WELL-POSEDNESS; TURBULENCE; FLUID;

D O I：

10.1007/s00033-024-02252-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a vorticity Leray-alpha model with eddy viscosity depending on d(x, partial derivative Omega)eta where partial derivative Omega is the boundary of the domain and eta is an element of] 0; 1[. We prove that this system admits fairly regular weak solutions converging when alpha goes to 0 to the solution of a reference system

引用

页数：13

共 22 条

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