Energy concentration for the Landau-Lifshitz equation

被引：0

作者：

Moser, Roger ^{[1
]}

机构：

[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2008年 / 25卷 / 05期

关键词：

Landau-Lifshitz equation; Energy concentration; Geometric flow; Curvature;

D O I：

10.1016/j.anihpc.2007.08.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the Landau-Lifshitz equation on a domain with three space dimensions, we consider energy concentration phenomena arising in the context of weakly convergent sequences of solutions. The concentration measure can be interpreted as a family of generalized curves. We establish a connection to a geometric flow. (C) 2007 Elsevier Masson SAS. All rights reserved.

引用

页码：987 / 1013

页数：27

共 29 条

[1] FIRST VARIATION OF A VARIFOLD [J].

ALLARD, WK .

ANNALS OF MATHEMATICS, 1972, 95 (03) :417-&

[2]

Ambrosio L., 1997, Ann. Scuola Norm. Sup. Pisa CI. Sci, V25, P27

[3]

Brakke K.A, 1978, Math. Notes

[4]

COIFMAN R, 1993, J MATH PURE APPL, V72, P247

[5]

Ding W., 1995, COMMUN ANAL GEOM, V3, P543

[6]

Eells J., 1978, B LOND MATH SOC, V10, P1, DOI DOI 10.1112/BLMS/10.1.1

[7]

Federer H, 1969, Geometric measure theory

[8] PARTIAL REGULARITY FOR HARMONIC MAPS OF EVOLUTION INTO SPHERES [J].

FELDMAN, M .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1994, 19 (5-6) :761-790

[9]

HELEIN F, 1990, CR ACAD SCI I-MATH, V311, P519

[10] 2ND FUNDAMENTAL FORM FOR VARIFOLDS AND THE EXISTENCE OF SURFACES MINIMIZING CURVATURE [J].

HUTCHINSON, JE .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1986, 35 (01) :45-71

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