The vortex core structure inside spherical ferromagnetic particles

François Alouges; Sylvain Faure; Jutta Steiner

doi:10.3934/dcds.2010.27.1259

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2010, Volume 27, Issue 4: 1259-1282. Doi: 10.3934/dcds.2010.27.1259

This issue Previous Article A KdV-type Boussinesq system: From the energy level to analytic spaces Next Article Sufficient conditions for the regularity to the 3D Navier-Stokes equations

The vortex core structure inside spherical ferromagnetic particles

1.
CMAP UMR 7641, CNRS, École Polytechnique, Route de Saclay, 91128 Palaiseau Cedex
2.
Laboratoire de Mathématiques, Université Paris-Sud XI, 91405, Orsay Cedex
3.
Institute for Applied Mathematics, Endenicher Allee 60, 53115 Bonn

Received: September 30, 2009

Revised: December 31, 2009

Published: November 2010

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Abstract

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.

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Mathematics Subject Classification: Primary: 35B32, 65N30; Secondary: 35J60.

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