# American Institute of Mathematical Sciences

May  2010, 27(2): 847-861. doi: 10.3934/dcds.2010.27.847

## Eventual regularization of the slightly supercritical fractional Burgers equation

 1 Institute for Mathematics and its Applications, University of Minnesota, 207 Church Street SE, Minneapolis, MN 55455-0134, United States 2 Department of Mathematics, University of Toronto, 40 St. George St. Toronto, Ontario, M5S 2E4, Canada 3 Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637, United States

Received  October 2009 Revised  February 2010 Published  February 2010

We prove that a weak solution of a slightly supercritical fractional Burgers equation becomes Hölder continuous for large time.
Citation: Chi Hin Chan, Magdalena Czubak, Luis Silvestre. Eventual regularization of the slightly supercritical fractional Burgers equation. Discrete & Continuous Dynamical Systems - A, 2010, 27 (2) : 847-861. doi: 10.3934/dcds.2010.27.847
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