混合边界条件下定常Navier-Stokes方程解的正则性  

Regularity of Solutions of Stationary Navier-Stokes Equations with Mixed Boundary Conditions

作　　者：安荣[1] 李媛[1] 李开泰[1] 

机构地区：[1]温州大学数学与信息科学学院,浙江温州325035

出　　处：《应用数学》2009年第1期83-89,共7页Mathematica Applicata

基　　金：国家自然科学基金(50306019 ;10571142 ;10471110 ;10471109)

摘　　要：本文考虑混合边界条件下,三维定常Navier-Stokes方程.利用Galerkin逼近方法和差商方法,证明了弱解和强解的存在性.In this paper, we consider the stationary Navier-Stokes equations with mixed boundary conditions in a bounded domain Ω R^3 . The existence of weak solution and strong solution are obtained using Galerkin approximation method and differential quotient method, respectively.

关 键 词：Navier—Stokes方程 混合边界条件 弱解 正则性 

分 类 号：O357.1[理学—流体力学] O175.24[理学—力学]