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Journal of Zhejiang University SCIENCE A 2007 Vol.8 No.6 P.949-956


Some stationary weak solutions to inhomogeneous Landau-Lifshitz equations in three dimensions

Author(s):  FANG Dao-yuan, LI Tai-long, XUE Ru-ying

Affiliation(s):  Department of Mathematics, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   m9845@163.com

Key Words:  Landau-Lifshitz equation, Stationary condition, Hausdorff measure

FANG Dao-yuan, LI Tai-long, XUE Ru-ying. Some stationary weak solutions to inhomogeneous Landau-Lifshitz equations in three dimensions[J]. Journal of Zhejiang University Science A, 2007, 8(6): 949-956.

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author="FANG Dao-yuan, LI Tai-long, XUE Ru-ying",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

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%T Some stationary weak solutions to inhomogeneous Landau-Lifshitz equations in three dimensions
%A FANG Dao-yuan
%A LI Tai-long
%A XUE Ru-ying
%J Journal of Zhejiang University SCIENCE A
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%N 6
%P 949-956
%@ 1673-565X
%D 2007
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2007.A0949

T1 - Some stationary weak solutions to inhomogeneous Landau-Lifshitz equations in three dimensions
A1 - FANG Dao-yuan
A1 - LI Tai-long
A1 - XUE Ru-ying
J0 - Journal of Zhejiang University Science A
VL - 8
IS - 6
SP - 949
EP - 956
%@ 1673-565X
Y1 - 2007
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2007.A0949

In this paper, we describe several stationary conditions on weak solutions to the inhomogeneous landau-Lifshitz equation, which ensure the partial regularity. For certain class of proper stationary weak solutions, a compactness result of the solutions, a finite hausdorff measure result of the t-slice energy concentration sets and an asymptotic limit result of the Radon measures are proved. We also present a subtle rectifiability result for the energy concentration set of certain sequence of strong stationary weak solutions.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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