Local existence result for a class of Boussinesq equations
In order to seek the existence of solution to the 3D Boussinesq equations with fractional dissipative term,this paper proved that the solution to the 3D Boussinesq equations exists locally by utilizing the mollifier with the regularizing method and classical energy method,and the blow-up criteria for this solution was given.The results of study extend the previous two dimensional case to three dimensional case,and extend the generalized dissipative terms to more complex Boussinesq equations with fractional dissipative terms,which can more accurately reflect the fluid movement.
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