American Institute of Mathematical Sciences

Advanced
November  2010, 27(4): 1259-1282. doi: 10.3934/dcds.2010.27.1259

The vortex core structure inside spherical ferromagnetic particles

François Alouges 1, , Sylvain Faure 2, and  Jutta Steiner 3,

1. 

CMAP UMR 7641, CNRS, École Polytechnique, Route de Saclay, 91128 Palaiseau Cedex, France
2. 

Laboratoire de Mathématiques, Université Paris-Sud XI, 91405, Orsay Cedex, France
3. 

Institute for Applied Mathematics, Endenicher Allee 60, 53115 Bonn, Germany

Received  October 2009 Revised  January 2010 Published  March 2010

We analyze the vortex core structure inside spherical ferromagnetic particles through both a bifurcation analysis and numerical simulations. Based on properties of the solution and simplifying assumptions, specific numerical algorithms are developed. Numerical results are provided showing the applicability of the methods.
Keywords: bifurcation analysis, finite element method., Micromagnetics.
Mathematics Subject Classification: Primary: 35B32, 65N30; Secondary: 35J6.
Citation: François Alouges, Sylvain Faure, Jutta Steiner. The vortex core structure inside spherical ferromagnetic particles. Discrete and Continuous Dynamical Systems, 2010, 27 (4) : 1259-1282. doi: 10.3934/dcds.2010.27.1259
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