Time average in micromagnetism

被引：75

作者：

Carbou, G ^{[1
]}

Fabrie, P ^{[1
]}

机构：

[1] Univ Bordeaux 1, F-33405 Talence, France

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1998年 / 147卷 / 02期

关键词：

D O I：

10.1006/jdeq.1998.3444

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study a model of ferromagnetic material governed by a nonlinear Laudau-Lifschitz equation coupled with Maxwell equations. We prove the existence of weak solutions. Then we prove that all points of the omega-limit set of any trajectories are solutions of the stationary model. Furthermore we derive rigourously the quasistatic model by an appropriate time average method. (C) 1998 Academic Press.

引用

页码：383 / 409

页数：27

共 15 条

[1]

ALOGUES F, COMMUNICATION

[2] ON GLOBAL WEAK SOLUTIONS FOR LANDAU-LIFSHITZ EQUATIONS - EXISTENCE AND NONUNIQUENESS [J].

ALOUGES, F ;

SOYEUR, A .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 18 (11) :1071-1084

[3]

[Anonymous], 1969, ELECTRODYNAMIQUE MIL

[4]

BROWN F, 1963, MICROMAGNETICS

[5] Asymptotic behaviour of weak solutions for Landau-Lifschitz equations [J].

Carbou, G ;

Fabrie, P .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 325 (07) :717-720

[6] Quasi-stationary model for the micromagnetism theory [J].

Carbou, G .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 325 (08) :847-850

[7]

Hormander L., 1996, PROGR NONLINEAR DIFF, V21

[8]

JOLY JB, COMMUNICATION

[9]

JOLY JL, 1996, EC POL SEM EDP

[10]

JOLY P, UNPUB MATH NUMERICAL

← 1 2 →