Article ID Journal Published Year Pages File Type
1704681 Applied Mathematical Modelling 2013 12 Pages PDF
Abstract

Two different systems which can be regard as the extreme cases of Landau-Lifshitz–Gilbert equation are considered. When the gyromagnetic term of Landau–Lifshitz–Gilbert equation vanishes away, we consider some special solutions for a modified harmonic map heat flow which map from (2+1)(2+1)-dimensional space–time into the 2-sphere. The existence of regular initial data leading to blow up in finite time is established. When the Gilbert term is omitted, a blowup solution is obtained by constructing a blowup solution of Landau–Lifshitz equation.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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