Existence and asymptotics of solutions of the Debye-Nernst-Planck system in R^2

Abstract

In this paper we investigate a system describing electrically charged particles in the whole space 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.

22 pages, packages used: amsmath, amssymb, nicefrac, bbm, mathrsfs