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.
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页码：95 / 108
页数：14
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