Global existence versus blow up for some models of interacting particles
Analysis of PDEs
2008-03-17 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0603656,
title = {Global existence versus blow up for some models of interacting particles},
author = {Piotr Biler and Lorenzo Brandolese},
journal= {arXiv preprint arXiv:math/0603656},
year = {2008}
}
Comments
Colloq. Math. (to appear)