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Title of Journal: Acta Math Appl Sin Engl Ser

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Abbravation: Acta Mathematicae Applicatae Sinica, English Series

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Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society

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DOI

10.1007/978-94-011-0177-6_40

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1618-3932

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Explicit piecewise smooth solutions of LandauLifs

Authors: Ganshan Yang Yunzhang Zhang Limin Liu
Publish Date: 2008/12/11
Volume: 25, Issue: 1, Pages: 61-74
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Abstract

In this paper we shall construct some explicit piecewise smooth global continuous solutions as well as blow up solutions to the multidimensional LandauLifshitz equation subject to the external magnetic fields being both discontinuous and unbounded When the external magnetic field is continuous some explicit exact smooth solutions and blow up solution are also constructed We also establish some necessary and sufficient conditions to ensure that the solution of multidimensional LandauLifshitz equation with external magnetic field converges to the solution of equation without external magnetic field when the external magnetic field tends to zero

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