23
views
0
recommends
+1 Recommend
0 collections
0
shares
• Record: found
• Abstract: found
• Article: found
Is Open Access

# Remarks on a fractional diffusion transport equation with applications to the dissipative quasi-geostrophic equation

Preprint

Bookmark
There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

### Abstract

In this article I study H\"older regularity for solutions of a transport equation based in the dissipative quasi-geostrophic equation. Following a recent idea of A. Kiselev and F. Nazarov, I will use the molecular characterization of local Hardy spaces in order to obtain information on H\"older regularity of such solutions. This will be done by following the evolution of molecules in a backward equation.

### Most cited references3

• Record: found
• Abstract: found
• Article: found
Is Open Access

### Global well-posedness for the critical 2D dissipative quasi-geostrophic equation

(2006)
We give an elementary proof of the global well-posedness for the critical 2D dissipative quasi-geostrophic equation. The argument is based on a non-local maximum principle involving appropriate moduli of continuity.
Bookmark
• Record: found

### A local version of real Hardy spaces

(1979)
Bookmark
• Record: found
• Abstract: found
• Article: found
Is Open Access

### Regularity of H\"older continuous solutions of the supercritical quasi-geostrophic equation

(2007)
We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical ($$\alpha 1-2\alpha$$ on the time interval $$[t_0, t]$$, then it is actually a classical solution on $$(t_0,t]$$.
Bookmark

### Author and article information

###### Journal
2010-07-22
2013-01-22
1007.3919