THE NAVIER-STOKES EQUATIONS WITH THE KINEMATIC AND VORTICITY BOUNDARY CONDITIONS ON NON-FLAT BOUNDARIES - Chen, Gui-Qiang; Osborne, Dan; Qian, Zhongmin (Acta mathematica scientia, 2009)
Keywords: 35A35; 35B35; 35P05; 35Q30; 36M60; 58C35; 76D03; 76D05; 76D07; absolute boundary condition; Apriori; general domain; incompressible; inviscid limit; kinematic boundary condition; Navier-Stokes equations; Neumann problem; Neumann问题; non-flat boundary; Poisson equation; Poisson方程; slip boundary condition; Stokes operator; strong solutions; vorticity; vorticity boundary condition; 初边值问题; 定常Stokes方程; 涡量边界条件; 运动学; 非齐次边界条件; kinematic boundary condition; absolute boundary condition; Neumann problem; general domain; vorticity; 35B35; 35A35; 58C35; 76D03; Poisson equation; slip boundary condition; 76D05; 35Q30; incompressible; 76D07; 36M60; inviscid limit; 35P05; vorticity boundary condition; strong solutions; Stokes operator; Navier-Stokes equations; non-flat boundary; kine-matic boundary condition; invisci; vor-ticity