A+ CATEGORY SCIENTIFIC UNIT

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

Volume 86 / 2009

Agnieszka Herczak, Micha/l Olech Banach Center Publications 86 (2009), 129-148 MSC: Primary 35B40, 35K15, 35Q99; Secondary 78A35, 92E99. DOI: 10.4064/bc86-0-8

Abstract

We investigate a system describing electrically charged particles in the whole space $\mathbb R^2$. 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.

Authors

  • Agnieszka HerczakPaństwowa Wyższa Szko/la Zawodowa w Nysie
    ul. Grodzka 19
    48-300 Nysa, Poland
    e-mail
  • Micha/l OlechInstytut Matematyczny
    Uniwersytet Wroc/lawski
    pl. Grunwaldzki 2/4
    50-384 Wroc/law, Poland
    e-mail

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