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Weak and regular solutions for Landau-Lifschitz equations: existence and asymptotic behaviour

Thursday 13th February 2003 - 15:30 to 16:15
INI Seminar Room 1
Session Title: 
Computational Electromagnetism
In this talk, we describe existence results for weak and regular solutions of Landau-Lifschitz equations. Furthermore, we present two types of asymptotic behaviour : for large time, we study the $\omega$-limit set of the weak solutions. On the other hand, we perform an asymptotic expansion of the regular solutions when the exchange coefficient goes to zero : it appears a boundary layer described with a BKW method.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons