Landau-Lifshitz equation of ferromagnetism with external magnetic field
2002 ◽
Vol 72
(3)
◽
pp. 299-316
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Keyword(s):
Blow Up
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AbstractIn 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.