Blowup and Self-Similar Solutions for Two-Component Drift-Diffusion Systems

Guerra-Benavente, I

doi:10.1016/j.na.2012.04.035

Blowup and Self-Similar Solutions for Two-Component Drift-Diffusion Systems

Journal

Nonlinear Analysis, Theory, Methods and Applications

ISSN

0362-546X

Date Issued

2012

Author(s)

Guerra-Benavente, I

DOI

https://doi.org/10.1016/j.na.2012.04.035

Abstract

We discuss asymptotic properties of solutions of two-component parabolic drift-diffusion systems coupled through an elliptic equation in two space dimensions. In particular, conditions for finite time blowup versus the existence of forward self-similar solutions are studied. © 2012 Elsevier Ltd. All rights reserved.