|
| Decay Estimates of Solutions forIncompressible Magneto-MicropolarEquations with Partial Dissipation |
| Sen Liu |
| (School of Mathematics, Southwestern University of Finance and Economics,
Chengdu 611130, China) |
| DOI： |
| Abstract: |
| This paper concerns the Cauchy problem of three-dimensional incompressible magneto-micropolar equations with partially mixed velocity dissipation and magnetic diffusion. Under smallness assumption on initial data, we
first establish the global existence of smooth solution, and then derive the longtime decay estimates for the solution. The proof is based on energy methods,
and some new weighted energy functionals and bootstrap argument are introduced. We remark that, despite the lack of dissipation in certain directions, the
solution exhibits power decay rates as time tends to infinity |
| Key words: Magneto-micropolar Fluid; Decay estimates; Partial dissipation |