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Optimal time decay rates of solutions for the 2D generalized magneto‐micropolar equations
Author(s) -
Ye Hailong,
Mao Yiqiu,
Jia Yan
Publication year - 2021
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.7185
Subject(s) - mathematics , dissipation , magneto , diffusion , mathematical analysis , physics , thermodynamics , quantum mechanics , magnet
This study is concerned with the optimal time rates of weak solutions for the 2D magneto‐micropolar equations with only micro‐rotational dissipation and magnetic diffusion. Due to some new observations, we obtain the optimal time decay rates of weak solutions ‖ ∇ u ( t ) ‖L 2+ ‖ ∇ w ( t ) ‖L 2≤ C ( 1 + t ) − 2and ‖ ∇ b ( t ) ‖L p≤ C ( 1 + t ) − 1 2 − ( 1 − 1 p )with p ∈ [2, ∞ ) .