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Decay rate of unique global solution for a class of 2D tropical climate model
Author(s) -
Li Hongmin,
Xiao Yuelong
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5529
Subject(s) - mathematics , tropical climate , class (philosophy) , climatology , atmospheric sciences , statistical physics , ecology , physics , biology , geology , philosophy , epistemology
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 ‖ ( u , v , θ ) ‖ L 2 ( R 2 ) → 0 as t → ∞ and obtain the decay rates with t s 2‖ ( u , v , θ ) ( t ) ‖ H s→ 0 as t → ∞ , where s ≥ 0.