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Asymptotics of a solution of a nonlinear system of diffusion of a magnetic field into a substance

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Abstract

We study the asymptotic behavior at large time of a solution to a system of nonlinear integro-differential equations which arises in mathematical modeling of diffusion of a magnetic field into a substance. We establish the corresponding stabilization rate.

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Authors and Affiliations

  1. Tbilisi State University, Tbilisi, Georgia

    T. A. Jangveladze & Z. V. Kiguradze

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  1. T. A. Jangveladze
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  2. Z. V. Kiguradze
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__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 5, pp. 1058–1070, September–October, 2006.

Original Russian Text Copyright © 2006 Jangveladze T. A. and Kiguradze Z. V.

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Jangveladze, T.A., Kiguradze, Z.V. Asymptotics of a solution of a nonlinear system of diffusion of a magnetic field into a substance. Sib Math J 47, 867–878 (2006). https://doi.org/10.1007/s11202-006-0095-5

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  • DOI: https://doi.org/10.1007/s11202-006-0095-5

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