Essential Site Maintenance: Authorea-powered sites will be updated circa 15:00-17:00 Eastern on Tuesday 5 November.
There should be no interruption to normal services, but please contact us at [email protected] in case you face any issues.

loading page

Optimal time decay rates of solutions for the 2D generalized magneto-micropolar equations
  • Hailong Ye,
  • Yiqiu Mao,
  • yan JIA
Hailong Ye
Shenzhen University

Corresponding Author:[email protected]

Author Profile
Yiqiu Mao
Shenzhen University
Author Profile
yan JIA
Shenzhen University
Author Profile

Abstract

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 $\|\nabla u(t)\|_{L^2}+\|\nabla w(t)\|_{L^2}\le C(1+t)^{-2}$ and $ \|\nabla b(t)\|_{L^{p}}\le C(1+t)^{-\frac12-(1-\frac1p)}$ with $p\in[2,\infty)$.
24 Feb 2020Submitted to Mathematical Methods in the Applied Sciences
28 Feb 2020Submission Checks Completed
28 Feb 2020Assigned to Editor
29 Feb 2020Reviewer(s) Assigned
03 Jul 2020Review(s) Completed, Editorial Evaluation Pending
20 Dec 2020Editorial Decision: Accept