Global existence versus blow up for some models of interacting particles

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study the global existence and space-time asymptotics of solutions for a class of nonlocal parabolic semilinear equations. Our models include the Nernst-Planck and the Debye-Hukel drift-diffusion systems as well as parabolic-elliptic systems of chemotaxis. In the case of a model of self-gravitating particles, we also give a result on the finite time blow up of solutions with localized and oscillating complex-valued initial data, using a method by S. Montgomery-Smith.
Colloq. Math. (to appear)

Keywords

Analysis of PDEs, 35K55, 92C17, 35Q60

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/156928

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603656
 http://arxiv.org/abs/math/0603656
 Colloq. Math. 106, 2 (2006) 293--303

Collections

arXiv