@article{10902/30374,
year = {2015},
month = {1},
url = {https://hdl.handle.net/10902/30374},
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. © 2014 Elsevier Inc.},
organization = {H.B. and R.G.-B. acknowledge Prof. H. Dong for his valuable comments that highly improve the manuscript. The authors also gratefully acknowledge the support by the Department of Mathematics at UC Davis where this research was performed. H.B. is supported by the 2014 Research Fund (Project Number 1.140076.01) of UNIST (Ulsan National Institute of Science and Technology). R.G.-B. is partially supported by the grant MTM2011-26696 from the former Ministerio de Ciencia e Innovación (MICINN, Spain).},
publisher = {Elsevier},
publisher = {Advances in Mathematics, 2015, 269, 197-219},
title = {Global existence for some transport equations with nonlocal velocity},
author = {Bae, Hantaek and Granero Belinchón, Rafael},
}