Centrally symmetric steady states in a model of electrodiffusion

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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
Citation in English: Kuzmin R.N., Maximov D.S., Savenkova N.P., Shobukhov A.V. Centrally symmetric steady states in a model of electrodiffusion // Computer Research and Modeling, 2012, vol. 4, no. 1, pp. 99-104
Citation in English: Kuzmin R.N., Maximov D.S., Savenkova N.P., Shobukhov A.V. Centrally symmetric steady states in a model of electrodiffusion // Computer Research and Modeling, 2012, vol. 4, no. 1, pp. 99-104
DOI: 10.20537/2076-7633-2012-4-1-99-104
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International Interdisciplinary Conference "Mathematics. Computing. Education"