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arXiv · 0808.0123

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

A. Herczak·M. Olech
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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.

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A. Herczak, M. Olech. 2008-08-01. Existence and asymptotics of solutions of the Debye-Nernst-Planck system in R^2. https://arxiv.org/abs/0808.0123

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