A Remark on Persistence of Regularity for the Nonlinear Boussinesq System in Dimension Two

摘要

This paper investigates the Cauchy problem for the nonlinear Boussinesq system in dimension two, and prove that for any initial data(u_0, θ_0) in H^(1+s)×H^(1+s), where s ∈(0, 1),the persistence of regularity holds.