| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4665602 | Advances in Mathematics | 2015 | 23 Pages |
Abstract
In this paper, we study transport equations with nonlocal velocity fields with rough initial data. We address the global existence of weak solutions of a one dimensional model of the surface quasi-geostrophic equation and the incompressible porous media equation, and one dimensional and n dimensional models of the dissipative quasi-geostrophic equations and the dissipative incompressible porous media equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Hantaek Bae, Rafael Granero-Belinchón,