Existence theorem and blow-up criterion of the strong solutions to the Magneto-micropolar fluid equations

Details Existence theorem and blow-up criterion of the strong solutions to the Magneto-micropolar fluid equations Existence theorem and blow-up criterion of the strong solutions to the Magneto-micropolar fluid equations

2007-06-15

arxiv.org/abs/0706.2291v1

Mathematical Methods in the Applied Sciences, Vol.31, 9(2008)1113-1130

Mathematics

Analysis of PDEs

19pages

Scientific paper

10.1002/mma.967

In this paper we study the magneto-micropolar fluid equations in $\R^3$, prove the existence of the strong solution with initial data in $H^s(\R^3)$ for $s> {3/2}$, and set up its blow-up criterion. The tool we mainly use is Littlewood-Paley decomposition, by which we obtain a Beale-Kato-Majda type blow-up criterion for smooth solution $(u,\omega,b)$ which relies on the vorticity of velocity $\nabla\times u$ only.

Affiliated with

Also associated with

No associations

Rating

Existence theorem and blow-up criterion of the strong solutions to the Magneto-micropolar fluid equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Existence theorem and blow-up criterion of the strong solutions to the Magneto-micropolar fluid equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence theorem and blow-up criterion of the strong solutions to the Magneto-micropolar fluid equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-549611