Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610603 | Journal of Differential Equations | 2014 | 13 Pages |
Abstract
We study a 1D transport equation with nonlocal velocity. First, we prove eventual regularization of the viscous regularization when dissipation is in the supercritical range with non-negative initial data. Next, we will prove global regularity for solutions when dissipation is slightly supercritical. Both results utilize a nonlocal maximum principle.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tam Do,