A problem with directional derivative in the theory of galvanomagnetic effects

Yu G. Gurevich; V. V. Kucherenko; E. Ramires De Areiano

doi:10.1007/bf02675357

A problem with directional derivative in the theory of galvanomagnetic effects

Yu G. Gurevich, V. V. Kucherenko, E. Ramires De Areiano

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	436-446
Number of pages	11
Journal	Mathematical Notes
Volume	65
Issue number	4
DOIs	https://doi.org/10.1007/bf02675357
State	Published - 1999
Externally published	Yes

Keywords

Boundary-layer functions
Directional derivative
Dirichlet problem
Estimate of the solution
Laplace equation
Magnetic field
Magnetoresistance

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10.1007/bf02675357

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AU - Kucherenko, V. V.

AU - Ramires De Areiano, E.

PY - 1999

Y1 - 1999

N2 - 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.

AB - 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.

KW - Boundary-layer functions

KW - Directional derivative

KW - Dirichlet problem

KW - Estimate of the solution

KW - Laplace equation

KW - Magnetic field

KW - Magnetoresistance

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U2 - 10.1007/bf02675357

DO - 10.1007/bf02675357

M3 - Artículo

AN - SCOPUS:29244431704

SN - 0001-4346

VL - 65

SP - 436

EP - 446

JO - Mathematical Notes

JF - Mathematical Notes

IS - 4

ER -

A problem with directional derivative in the theory of galvanomagnetic effects

Abstract

Keywords

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