2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166252In 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, mathrsfsAnalysis of PDEs35B40, 35K15, 35Q99 (Primary) 78A35, 92E99 (Secondary)Existence and asymptotics of solutions of the Debye-Nernst-Planck system in R^2text