Spin-polarized transport:: Existence of weak solutions

被引：0

作者：

Garcia-Cervera, C. J. ^{[1
]}

Wang, X. P.

机构：

[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

[2] Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2007年 / 7卷 / 01期

关键词：

micromagnetics; Landau-Lifshitz; weak solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A system modeling spin-polarized transport in ferromagnetic multilayers is considered. In this model, the spin accumulation is described by a quasilinear diffusion equation with discontinuous, measurable coefficients. This equation is coupled to the Landau-Lifshitz-Gilbert equation, a nonlinear, nonlocal equation describing the precession of the magnetization in the ferromagnetic layers. The global existence of weak solutions is proved.

引用

页码：87 / 100

页数：14

共 28 条

[1] ON GLOBAL WEAK SOLUTIONS FOR LANDAU-LIFSHITZ EQUATIONS - EXISTENCE AND NONUNIQUENESS
ALOUGES, F
SOYEUR, A
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 18 (11) : 1071 - 1084
[2] New origin for spin current and current-induced spin precession in magnetic multilayers
Berger, L
[J]. JOURNAL OF APPLIED PHYSICS, 2001, 89 (10) : 5521 - 5525
[3] Emission of spin waves by a magnetic multilayer traversed by a current
Berger, L
[J]. PHYSICAL REVIEW B, 1996, 54 (13): : 9353 - 9358
[4] CHANG KC, 1992, J DIFFER GEOM, V36, P507
[5] Chang NH, 2000, COMMUN PUR APPL MATH, V53, P590
[6] Chen Y., 1996, J PDE, V9, P313
[7] CHEN Y, 1998, ACTA MATH SINICA, V41, P1043
[8] Coddington N., 1955, THEORY ORDINARY DIFF
[9] NONUNIQUENESS FOR THE HEAT-FLOW OF HARMONIC MAPS
CORON, JM
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1990, 7 (04): : 335 - 344
[10] Evans L. C, 2010, Partial Differential Equations, V19

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