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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.
Acknowledgements
We would like to thank the anonymous referees for their valuable comments and suggestions.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
This work is partially supported by NSFC [grant number 11101376]; ZJNSF [grant number LY15A010009]; Scientific Research Foundation of the Higher Education Institutions of Gansu Province [grant number 2015A-131]; TSNSF [grant number TSA1406].