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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
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
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
Linking options:
https://www.mathnet.ru/eng/crm473 https://www.mathnet.ru/eng/crm/v4/i1/p99
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Abstract page: | 69 | Full-text PDF : | 23 | References: | 23 |
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