1. Department of Mathematics, Zhejiang Normal University, Jinhua, China.jzhong@zjnu.cn;3. Department of Mathematics, Zhejiang Normal University, Jinhua, China.;4. Department of Mathematics, Tianshui Normal University, Tianhui, China.
Abstract:
This paper deals with the local existence and uniqueness of strong solutions for the generalized Boussinesq equations with fractional dissipation. As a corollary, we establish some regularity criteria to guarantee smoothness of solutions.