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Stabilization of equilibrium MHD configurations by external currents

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Abstract

For the viscous incompressible magnetohydrodynamic equations, a control by external currents is proposed that exponentially stabilizes an equilibrium configuration of conductive liquid. The linear feedback control operator has a finite-dimensional image and can be localized in a certain part of the flow region.

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Authors and Affiliations

  1. Far East Federal University, ul. Sukhanova 8, Vladivostok, 690950, Russia

    A. Yu. Chebotarev

  2. Institute of Applied Mathematics, Far East Branch, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia

    A. Yu. Chebotarev

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  1. A. Yu. Chebotarev
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Correspondence to A. Yu. Chebotarev.

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Original Russian Text © A.Yu. Chebotarev, 2012, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2012, Vol. 52, No. 12, pp. 2238–2246.

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Chebotarev, A.Y. Stabilization of equilibrium MHD configurations by external currents. Comput. Math. and Math. Phys. 52, 1670–1678 (2012). https://doi.org/10.1134/S0965542512120068

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  • DOI: https://doi.org/10.1134/S0965542512120068

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