Finite Time Singularity of the Landau-Lifshitz-Gilbert Equation

被引：30

作者：

Ding, Shijin ^{[2
]}

Wang, Changyou ^{[1
]}

机构：

[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2007年 / 2007卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1093/imrn/rnm012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that in dimensions three or four, for suitably chosen initial data, the short time smooth solution to the Landau-Lifshitz-Gilbert equation blows up at finite time.

引用

页数：25

共 24 条

[1] 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

[2]

BARTELS S, 2005, NUMERICAL APPROXIMAT

[3]

CHANG KC, 1992, J DIFFER GEOM, V36, P507

[4]

Chen JW, 1989, LASER THER, V2, P83

[5] BLOW-UP AND GLOBAL EXISTENCE FOR HEAT FLOWS OF HARMONIC MAPS [J].

CHEN, Y ;

DING, WY .

INVENTIONES MATHEMATICAE, 1990, 99 (03) :567-578

[6]

CHEN Y, 1995, COMMUN PUR APPL MATH, V158, P429

[7]

Chen Y., 1993, COMMUN ANAL GEOM, V1, P327, DOI DOI 10.4310/CAG.1993.V1.N3.A1

[8]

CHEN Y, 1998, ACTA MATH SINICA, V41, P1043

[9] THE WEAK SOLUTIONS TO THE EVOLUTION PROBLEMS OF HARMONIC MAPS [J].

CHEN, YM .

MATHEMATISCHE ZEITSCHRIFT, 1989, 201 (01) :69-74

[10]

CORON JM, 1989, CR ACAD SCI I-MATH, V308, P339

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