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

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Admissible triple generalized Navier-Stokes equations initial boundary value problem space-time estimates.
• 年，卷（期）: 2000,（1）
• 页码范围: 75-88
• 页数: 14页
• 分类号: O175.29, O175.26
• 语种: 英文

摘要

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.