Regular solutions for Landau-Lifschitz equation in a bounded domain
By G. Carbou, Pierre Fabrie. Differential and Integral Equations, 2001
171 citations recorded by the source corpus.
Domain. Gilles Carbou, Pierre Fabrie Mathématiques Appliquées de Bordeaux, Université Bordeaux 1, 351 cours de la Libération, 33405 Talence cedex, France. Abstract : in this paper we prove local existence and uniqueness of regular solutions for a quasistatic model arising in micromagnetism theory. Moreover we show global existence of regular solutions for small data in the 2D case for the Landau-Lifschitz equation. These results extend those already obtained by the authors in the whole space. AMS Subjects : 35K20, 35Q60.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/d1a0ec4cc84aaea97757b35b36e402b036a9f3d5
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In Applied Mathematics
In Mathematical Physics
Citations in the corpus
- A Survey on the Numerics and Computations for the Landau-Lifshitz Equation of Micromagnetism (2007, methodology): “This transformation is a classical approach used for example in [6, 24 ,25] and gives rise to new ideas when designing numerical schemes.”