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Computer Research and Modeling, 2012, Volume 4, Issue 1, Pages 99–104
DOI: https://doi.org/10.20537/2076-7633-2012-4-1-99-104
(Mi crm473)
 

MODELS IN PHYSICS AND TECHNOLOGY

Centrally symmetric steady states in a model of electrodiffusion

R. N. Kuz'mina, D. S. Maximova, N. P. Savenkovab, A. V. Shobukhovb

a Lomonosov Moscow State University, Faculty of Physics, MSU, Leninskiye Gory, Building 2, House 1, Moscow, 119991, Russia
b Lomonosov Moscow State University, Faculty of Comput. Mathem. and Cybern., room 592, 2-nd Educat. Building, Moscow, 119991, Russia
References:
Abstract: We study the centrally symmetric mathematical model of electrodiffusion. This model describes in particular the transport of the $Li^+$ ions in certain electrochemical current sources. We demonstrate that the steady state solution of the considered model exists and is unique if the boundary values of the ion concentration and electric potential are given. This solution also proves to be the stable attractor of the time-dependent solutions with different initial value distributions.
Keywords: electrodiffusion, central symmetry, steady state solution.
Received: 16.05.2011
Revised: 19.01.2012
Document Type: Article
UDC: 51-72
Language: Russian
Citation: R. N. Kuz'min, D. S. Maximov, N. P. Savenkova, A. V. Shobukhov, “Centrally symmetric steady states in a model of electrodiffusion”, Computer Research and Modeling, 4:1 (2012), 99–104
Citation in format AMSBIB
\Bibitem{KuzMaxSav12}
\by R.~N.~Kuz'min, D.~S.~Maximov, N.~P.~Savenkova, A.~V.~Shobukhov
\paper Centrally symmetric steady states in a model of electrodiffusion
\jour Computer Research and Modeling
\yr 2012
\vol 4
\issue 1
\pages 99--104
\mathnet{http://mi.mathnet.ru/crm473}
\crossref{https://doi.org/10.20537/2076-7633-2012-4-1-99-104}
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