A problem with directional derivative in the theory of galvanomagnetic effects

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

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

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. © 1999 Kluwer Academic/Plenum Publishers.

Original language	American English
Pages (from-to)	436-446
Number of pages	391
Journal	Mathematical Notes
State	Published - 1 Dec 1999
Externally published	Yes

Cite this

@article{a6812a940c7c4a69965131f1c7027d4b,

title = "A problem with directional derivative in the theory of galvanomagnetic effects",

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. {\textcopyright} 1999 Kluwer Academic/Plenum Publishers.",

author = "Gurevich, {Yu G.} and Kucherenko, {V. V.} and {Ramires De Areiano}, E.",

year = "1999",

month = dec,

day = "1",

language = "American English",

pages = "436--446",

journal = "Mathematical Notes",

issn = "0001-4346",

publisher = "Pleiades Publishing",

}

TY - JOUR

T1 - A problem with directional derivative in the theory of galvanomagnetic effects

AU - Gurevich, Yu G.

AU - Kucherenko, V. V.

AU - Ramires De Areiano, E.

PY - 1999/12/1

Y1 - 1999/12/1

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. © 1999 Kluwer Academic/Plenum Publishers.

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. © 1999 Kluwer Academic/Plenum Publishers.

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=29244431704&origin=inward

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=29244431704&origin=inward

M3 - Article

SN - 0001-4346

SP - 436

EP - 446

JO - Mathematical Notes

JF - Mathematical Notes

ER -

A problem with directional derivative in the theory of galvanomagnetic effects

Abstract

Other files and links

Fingerprint

Cite this