Existence and asymptotics of solutions of the Debye-Nernst-Planck system in $\mathbb R^2$
Volume 86 / 2009
Banach Center Publications 86 (2009), 129-148
MSC: Primary 35B40, 35K15, 35Q99; Secondary 78A35, 92E99.
DOI: 10.4064/bc86-0-8
Abstract
We investigate a system describing electrically charged particles in the whole space $\mathbb R^2$. Our main goal is to describe large time behavior of solutions which start their evolution from initial data of small size. This is achieved using radially symmetric self-similar solutions.
