Decay rate of unique global solution for a class of 2D tropical climate model

Abstract

This paper is concerned with a time decay for unique global strong solution of a modified version of the tropical climate model originally derived by Frierson‐Majda‐Pauluis. We prove that false‖false(u,v,θfalse)‖L2false(R2false)→0 as t→∞ and obtain the decay rates with ts2false‖false(u,v,θfalse)false(tfalse)‖Hs→0 as t→∞, where s ≥ 0.

On long-time asymptotic behavior for solutions to 2D temperature-dependent tropical climate model

“…In fact, the main target of this paper is the long-time asymptotic behavior of the solutions obtained in [3]. For the decay rates of 2D tropical climate model, we refer to the recent works [14,36]. In this paper, we mainly prove two results.…”