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Local existence of strong solutions to the generalized Boussinesq equations
Authors:Zaihong Jiang  Baixin Liu  Caochuan Ma
Institution: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.
Keywords:Generalized Boussinesq equations  local existence
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