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Some stationary weak solutions to inhomogeneous Landau-Lifshitz equations in three dimensions
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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.
@article{title="Some stationary weak solutions to inhomogeneous Landau-Lifshitz equations in three dimensions",
author="FANG Dao-yuan, LI Tai-long, XUE Ru-ying",
journal="Journal of Zhejiang University Science A",
volume="8",
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pages="949-956",
year="2007",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2007.A0949"
}
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%DOI 10.1631/jzus.2007.A0949
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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
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DOI - 10.1631/jzus.2007.A0949
Abstract: 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.
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