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A problem with directional derivative in the theory of galvanomagnetic effects

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Abstract

We construct an asymptotics of the solution the Laplace equation in a “long” rectangle with the directional derivative given on its “long sides” and Dirichlet data on its “short sides.” By using the asymptotics, we calculate one of the integral characteristics, namely, the magnetoresistance. We obtain new formulas for the low-magnetic field magnetoresistance.

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Authors and Affiliations

  1. Departamentos de Matematicas y de Fisicas, Cinvestav IPM, Mexico

    Yu. G. Gurevich, V. V. Kucherenko & E. Ramires de Areiano

Authors
  1. Yu. G. Gurevich
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  2. V. V. Kucherenko
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  3. E. Ramires de Areiano
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Additional information

Translated fromMatematicheskie Zametki, Vol. 65, No. 4, pp. 520–532, April, 1999.

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Gurevich, Y.G., Kucherenko, V.V. & Ramires de Areiano, E. A problem with directional derivative in the theory of galvanomagnetic effects. Math Notes 65, 436–446 (1999). https://doi.org/10.1007/BF02675357

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  • DOI: https://doi.org/10.1007/BF02675357

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