Landau-Lifshitz equation of ferromagnetism with external magnetic field

P. Y.H. Pang; J. Xiao; F. Zhou

doi:10.1017/S1446788700036740

Landau-Lifshitz equation of ferromagnetism with external magnetic field

P. Y.H. Pang, J. Xiao, F. Zhou

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this article, we prove the existence and uniqueness of solution for the Cauchy problem of the Landau-Lifshitz equation of ferromagnetism with external magnetic field. We also show that the solution is globally regular with the exception of at most finitely many blow-up points. An energy identity at blow-up points is presented.

Original language	English
Pages (from-to)	299-316
Number of pages	18
Journal	Journal of the Australian Mathematical Society
Volume	72
Issue number	3
DOIs	https://doi.org/10.1017/S1446788700036740
State	Published - Jun 2002

Keywords

Energy identity
Landau-Lifshitz equation
Regularity

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title = "Landau-Lifshitz equation of ferromagnetism with external magnetic field",

abstract = "In this article, we prove the existence and uniqueness of solution for the Cauchy problem of the Landau-Lifshitz equation of ferromagnetism with external magnetic field. We also show that the solution is globally regular with the exception of at most finitely many blow-up points. An energy identity at blow-up points is presented.",

keywords = "Energy identity, Landau-Lifshitz equation, Regularity",

author = "Pang, \{P. Y.H.\} and J. Xiao and F. Zhou",

year = "2002",

month = jun,

doi = "10.1017/S1446788700036740",

language = "英语",

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journal = "Journal of the Australian Mathematical Society",

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T1 - Landau-Lifshitz equation of ferromagnetism with external magnetic field

AU - Pang, P. Y.H.

AU - Xiao, J.

AU - Zhou, F.

PY - 2002/6

Y1 - 2002/6

N2 - In this article, we prove the existence and uniqueness of solution for the Cauchy problem of the Landau-Lifshitz equation of ferromagnetism with external magnetic field. We also show that the solution is globally regular with the exception of at most finitely many blow-up points. An energy identity at blow-up points is presented.

AB - In this article, we prove the existence and uniqueness of solution for the Cauchy problem of the Landau-Lifshitz equation of ferromagnetism with external magnetic field. We also show that the solution is globally regular with the exception of at most finitely many blow-up points. An energy identity at blow-up points is presented.

KW - Energy identity

KW - Landau-Lifshitz equation

KW - Regularity

UR - https://www.scopus.com/pages/publications/0036345069

U2 - 10.1017/S1446788700036740

DO - 10.1017/S1446788700036740

M3 - 文章

AN - SCOPUS:0036345069

SN - 1446-7887

VL - 72

SP - 299

EP - 316

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

IS - 3

ER -

Landau-Lifshitz equation of ferromagnetism with external magnetic field

Abstract

Keywords

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