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A problem with directional derivative in the theory of galvanomagnetic effects |
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| Authors: | Yu. G. Gurevich V. V. Kucherenko E. Ramires de Areiano |
| Affiliation: | (1) Departamentos de Matematicas y de Fisicas, Cinvestav IPM, Mexico |
| 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. Translated fromMatematicheskie Zametki, Vol. 65, No. 4, pp. 520–532, April, 1999. |
| Keywords: | magnetoresistance Laplace equation directional derivative Dirichlet problem boundary-layer functions magnetic field estimate of the solution |
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