A problem with directional derivative in the theory of-galvanomagnetic effects

被引：0

作者：

Gurevich, YG ^{[1
]}

Kucherenko, VV ^{[1
]}

de Areiano, ER ^{[1
]}

机构：

[1] CINVESTAV, IPM, Dept Matemat & Fis, Mexico City 14000, DF, Mexico

来源：

MATHEMATICAL NOTES | 1999年 / 65卷 / 3-4期

关键词：

magnetoresistance; Laplace equation; directional derivative; Dirichlet problem; boundary-layer functions; magnetic field; estimate of the solution;

D O I：

10.1007/BF02675357

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an asymptotics of the solution the Laplace equation in it "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.

引用

页码：436 / 446

页数：9

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