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On the triviality condition for the kernel of the linearized first boundary-value problem for a system of equations of magnetic hydrodynamics

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Abstract

The first boundary-value problem for a system of equations of magnetic hydrodynamics in a cylinder of infinite length with ideally conducting surface is considered under conditions in the case where it has a two-dimensional solution. Sufficient conditions are obtained for the problem linearized in the neighborhood of this solution to have the trivial solution.

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References

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    N. A. Britov

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  1. N. A. Britov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 2, pp. 168–173, February, 1995.

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Britov, N.A. On the triviality condition for the kernel of the linearized first boundary-value problem for a system of equations of magnetic hydrodynamics. Ukr Math J 47, 199–205 (1995). https://doi.org/10.1007/BF01056710

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  • DOI: https://doi.org/10.1007/BF01056710

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