Oseen Coupling Method for the Exterior Flow Part Ⅰ:Oseen Coupling Approximation

作     者：Yinnian He Kaitai Li College of Science,Xi’an Jiaotong University,Xi’an 710049,P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2000年第16卷第2期

页      面：337-348页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by NSF of China & State Major Key Project of Basic Research 

主　　题：Navier-Stokes equations Oseen equations Nonhomogeneous boundary conditions 

摘      要：In this paper, we consider the bidimensional exterior unsteady Navier-Stokes equations with nonhomogeneous boundary conditions and present an Oseen coupling problem which approximates the Navier-Stokes problem, obtained by coupling the Navier-Stokes equations in the inner region and the Oseen equations in the outer region. Moreover, we prove the existence, uniqueness and the approximate accuracy of the weak solution of the Oseen coupling equations.