Non-uniform decay of MHD equations with and without magnetic diffusion

Details Non-uniform decay of MHD equations with and without magnetic diffusion Non-uniform decay of MHD equations with and without magnetic diffusion

2006-05-24

arxiv.org/abs/math/0605638v1

Mathematics

Analysis of PDEs

18 pages

Scientific paper

We consider the long time behavior of solutions to the magnetohydrodynamics equations in two and three spatial dimensions. It is shown that in the absence of magnetic diffusion, if strong bounded solutions were to exist their energy cannot present any asymptotic oscillatory behavior, the diffusivity of the velocity is enough to prevent such oscillations. When magnetic diffusion is present and the data is only in L^2, it is shown that the solutions decay to zero without a rate, and this nonuniform decay is optimal.

Affiliated with

Also associated with

No associations

Rating

Non-uniform decay of MHD equations with and without magnetic diffusion 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 Non-uniform decay of MHD equations with and without magnetic diffusion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-uniform decay of MHD equations with and without magnetic diffusion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-71712