arXiv:0808.0123 Abstract | arXiv Analytics

arXiv:0808.0123 [math.AP]Abstract References Reviews Resources

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

Published 2008-08-01Version 1

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.

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

Categories: math.AP

Subjects: 35B40, 35K15, 35Q99, 78A35, 92E99

Keywords: debye-nernst-planck system, asymptotics, radially symmetric self-similar solutions, large time behavior, initial data

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