Year: 2010
Type: article
Abstract: Motivated by the critical dissipative quasi-geostrophic equation, we prove that drift-diffusion equations with L 2 initial data and minimal assumptions on the drift are locally Hölder continuous.As an application we show that solutions of the quasi-geostrophic equation with initial L 2 data and critical diffusion ./ 1=2 are locally smooth for any space dimension.
Source: Annals of Mathematics
Authors: Luis Caffarelli, Alexis Vasseur
Institution: The University of Texas at Austin
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: National Science Foundation
OpenAlex ID: W2006455026