,EXISTENCE AND UNIQUENESS OF THE CAUCHY PROBLEM FOR A GENERALIZED NAVIER-STOKES EQUATIONS

• 作 者: Liu Xiaofeng(刘晓风)
• 机 构: The Institute of Mathematics, Fudan University, Shanghai, China, 200433
• 出 处: 偏微分方程（英文版）
• 发表日期: 2003年3期
• 关键词: Cauchy problem generalized Navier-Stokes equations hyperdissipation mild solutio

We consider the Cauchy problem for a generalized Navier-Stokes equations with hyperdissipation, with the initial data in Lpσ. We follow the theme of [1] but with more complicated analysis on the symbol and obtain the existence and uniqueness results.