Global well-posedness for an advection-diffusion equation arising in magneto-geostrophic dynamics

Details Global well-posedness for an advection-diffusion equation arising in magneto-geostrophic dynamics Global well-posedness for an advection-diffusion equation arising in magneto-geostrophic dynamics

2010-07-07

arxiv.org/abs/1007.1211v3

Mathematics

Analysis of PDEs

To appear in Annales de l'Institut Henri Poincare - Analyse non lineaire

Scientific paper

We use De Giorgi techniques to prove H\"older continuity of weak solutions to a class of drift-diffusion equations, with $L^2$ initial data and divergence free drift velocity that lies in $L_{t}^{\infty}BMO_{x}^{-1}$. We apply this result to prove global regularity for a family of active scalar equations which includes the advection-diffusion equation that has been proposed by Moffatt in the context of magnetostrophic turbulence in the Earth's fluid core.

Affiliated with

Also associated with

No associations

Rating

Global well-posedness for an advection-diffusion equation arising in magneto-geostrophic dynamics 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 Global well-posedness for an advection-diffusion equation arising in magneto-geostrophic dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global well-posedness for an advection-diffusion equation arising in magneto-geostrophic dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-346193