,THE STRONG SOLUTION OF A CLASS OF GENERALIZED NAVIER-STOKES EQUATIONS

• 作 者: Miao Changxing
• 机 构: Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, China
• 出 处: 偏微分方程（英文版）
• 发表日期: 2000年1期
• 关键词: Admissible triple generalized Navier-Stokes equations initial boundary value pro

We study initial boundary value (IBV) problem for a class of generalized Navier-Stokes equations in Lq([0, T); LP(Ω)). Our main tools are regularity of analytic semigroup by Stokes operator and space-time estimates. As an application we can obtain some classical results of the Navier-Stokes equations such as global classical solution of 2-dimensional Navier-Stokes equation etc.