Eventual regularization of the slightly supercritical fractional Burgers equation

Abstract

We prove that a weak solution of a slightly supercritical fractional Burgers equation becomes Holder continuous for large time.

References in corpus (3)

• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Eventual regularization for the slightly supercritical quasi-geostrophic equation
• Regularity of solutions for the critical $N$-dimensional Burgers' equation