Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 44, Issue 8, Pages 6336-6343Publisher
WILEY
DOI: 10.1002/mma.7185
Keywords
magneto-micropolar equations; optimal decay rates; partial dissipation
Categories
Funding
- National Natural Science Foundation of China [11701384, 11671155, 11871346, 11801002]
- National Natural Science Foundation of Guangdong Province [2018A030313024]
- Natural Science Foundation of Shenzhen City [JCYJ20180305125554234]
- Natural Science Foundation of SZU [2017057]
- Natural Science Foundation of Anhui Province [1808085MA01]
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This study focuses on the optimal time rates of weak solutions for the 2D magneto-micropolar equations with micro-rotational dissipation and magnetic diffusion. The obtained optimal time decay rates of weak solutions are ||del u(t)|(|L)2+||del w(t)||(L2) <= C(1+t)(-2) and ||del b(t)||(Lp) <= C(1+t)(-1/2-(1-1/p)) with p is an element of [2, infinity).
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 ||del u(t)|(|L)2+||del w(t)||(L2) <= C(1+t)(-2) and ||del b(t)||(Lp) <= C(1+t)(-1/2-(1-1/p)) with p is an element of [2, infinity).
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