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The cauchy problem for the Landau-Lifschitz equation on a finite interval

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Abstract

The Landau-Lifshitz equation for ferromagnets is reduced to a matrix Riemann boundary problem on a torus. This problem has been solved effectively. The time-dependence is re-established by a nonlinear equation in the function of a single variable.

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Authors and Affiliations

  1. Institute of Solid State Physics, Academy of Sciences of the U.S.S.R., 142432, Chernogolovka, U.S.S.R.

    Yu. L. Rodin

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  1. Yu. L. Rodin
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Rodin, Y.L. The cauchy problem for the Landau-Lifschitz equation on a finite interval. Lett Math Phys 8, 371–377 (1984). https://doi.org/10.1007/BF00418112

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  • DOI: https://doi.org/10.1007/BF00418112

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