Time decay rate of solutions to the tropical climate model equations in ℝn

This paper is devoted to study the time decay of tropical climate model. We first establish the optimal decay rates in L2 of the weak solutions with large initial data in Rn and obtain the existence and uniqueness of global smooth solutions with small initial data. In addition, taking advantage of Fourier splitting method, we get the decay rates in L2 for higher order derivatives of the smooth solutions with small initial data.