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Landau-Lifshitz equation of ferromagnetism with external magnetic field
Published online by Cambridge University Press: 09 April 2009
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.
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- Copyright © Australian Mathematical Society 2002
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