Existence and asymptotics of solutions of the Debye-Nernst-Planck system in R²

2008/08/01 by Agnieszka Herczak, A. Herczak, Herczak, A. +2
Mathematics · #Advanced Mathematical Physics Problems #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions #math.AP #msc:35B40 #msc:35K15 #msc:35Q99 #msc:78A35 #msc:92E99

paper · pdf · doi:10.48550/arxiv.0808.0123

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

arxiv created 2008/08/01 · arxiv updated 2009/12/01

Abstract

In this paper we investigate a system describing electrically charged particles in the whole space R². 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.

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