The boundary integral method for the steady rotating Navier-Stokes equations in exterior domain (I): the existence of solution

被引：1

作者：

An, Rong ^{[1
]}

Li, Kaitai ^{[2
]}

机构：

[1] Wenzhou Univ, Coll Math & Informat Sci, Wenzhou 325035, Peoples R China

[2] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2010年 / 17卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Rotating Navier-Stokes equations; Exterior domain; Boundary integral method; FINITE-ELEMENT METHODS; FLOW; FLUID;

D O I：

10.1007/s00030-009-0041-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we apply the boundary integral method to the steady rotating Navier-Stokes equations in exterior domain. Introducing some open ball which decomposes the exterior domain into a finite domain and a infinite domain, we obtain a coupled problem by the steady rotating Navier-Stokes equations in finite domain and a boundary integral equation without using the artificial boundary condition. For the coupled problem, we show the existence of solution in a convex set.

引用

页码：95 / 108

页数：14

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