arXiv Analytics

Sign in

arXiv:1007.4889 [math.AP]AbstractReferencesReviewsResources

Regularization for the supercritical quasi-geostrophic equation

Begoña Barrios

Published 2010-07-28, updated 2014-05-21Version 2

Motivated by the De Giorgi type argument used in a recent paper by Caffarelli and Vasseur, we prove H\"older-regularity for weak solutions of the supercritical quasi-geostrophic equation with minimal assumptions on the initial datum.

Comments: 18 pages This paper has been withdrawn by the author due to a crucial error in the proof of the main result
Categories: math.AP
Subjects: 35D10, 35J55
Related articles: Most relevant | Search more
arXiv:1811.03249 [math.AP] (Published 2018-11-08)
Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation
arXiv:2206.03641 [math.AP] (Published 2022-06-08)
Global strong solutions of 3D Compressible Navier-Stokes equations with short pulse type initial data
arXiv:2108.11111 [math.AP] (Published 2021-08-25)
Global existence and decay of the inhomogeneous Muskat problem with Lipschitz initial data