Global existence for some transport equations with nonlocal velocity

Bae, Hantaek; Granero Belinchón, Rafael

doi:10.1016/j.aim.2014.10.016

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GlobalExistenceSome.pdf (265.4Kb)

Identificadores

URI: https://hdl.handle.net/10902/30374

DOI: 10.1016/j.aim.2014.10.016

ISSN: 0001-8708

ISSN: 1090-2082

Fecha

2015-01

Derechos

Attribution-NonCommercial-NoDerivatives 4.0 International

Publicado en

Advances in Mathematics, 2015, 269, 197-219

Editorial

Elsevier

Enlace a la publicación

https://doi.org/10.1016/j.aim.2014.10.016

Palabras clave

Transport equation

Nonlocal velocity field

Weak solution

Entropy

Resumen/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.

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