4.6 Article

Optimal time decay rates of solutions for the 2D generalized magneto-micropolar equations

Journal

MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 44, Issue 8, Pages 6336-6343

Publisher

WILEY
DOI: 10.1002/mma.7185

Keywords

magneto-micropolar equations; optimal decay rates; partial dissipation

Funding

  1. National Natural Science Foundation of China [11701384, 11671155, 11871346, 11801002]
  2. National Natural Science Foundation of Guangdong Province [2018A030313024]
  3. Natural Science Foundation of Shenzhen City [JCYJ20180305125554234]
  4. Natural Science Foundation of SZU [2017057]
  5. Natural Science Foundation of Anhui Province [1808085MA01]

Ask authors/readers for more resources

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).

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available