Regularity to Boussinesq equations with partial viscosity and large data in three-dimensional periodic thin domain

This paper is devoted to study the partial viscosity Boussinesq equations on a 3D thin periodic domain. The global well-posedness of strong solution with the initial data (u0,θ0)∈Hper2(Ωϵ)×Hper1(Ωϵ) is established, where Ωϵ=[0,L1]×[0,L2]×[0,ϵ] is with periodic boundary conditions.