Instability of the magnetohydrodynamics system at small but finite Reynolds number

Details Instability of the magnetohydrodynamics system at small but finite Reynolds number Instability of the magnetohydrodynamics system at small but finite Reynolds number

2011-11-09

arxiv.org/abs/1111.2288v2

Mathematics

Analysis of PDEs

14 pages

Scientific paper

The aim of this paper is to give a result concerning the stability properties of the solutions of magnetohydrodynamics equations at small but finite Reynolds numbers. These solutions are found using the alpha-effect: this method gives us solutions which are highly oscillating spatially on the scale of the underlying flow but are growing on a larger scale depending on a parameter epsilon. We prove nonlinear stability and instability results for a dense subset of initial velocity field of the flow at given Reynolds number.

Affiliated with

Also associated with

No associations

Rating

Instability of the magnetohydrodynamics system at small but finite Reynolds number 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 Instability of the magnetohydrodynamics system at small but finite Reynolds number, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Instability of the magnetohydrodynamics system at small but finite Reynolds number will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-43277