Geometric structure of magnetic walls
Lecumberry, Myriam1
1 Université de Nantes Laboratoire de Mathématiques Jean Leray UFR Sciences et Techniques 2 rue de la Houssinière 44322 Nantes Cedex 3
Journées équations aux dérivées partielles (2005), article no. 1, 11 p.

After a short introduction on micromagnetism, we will focus on a scalar micromagnetic model. The problem, which is hyperbolic, can be viewed as a problem of Hamilton-Jacobi, and, similarly to conservation laws, it admits a kinetic formulation. We will use both points of view, together with tools from geometric measure theory, to prove the rectifiability of the singular set of micromagnetic configurations.

DOI : 10.5802/jedp.14
Lecumberry, Myriam 1

1 Université de Nantes Laboratoire de Mathématiques Jean Leray UFR Sciences et Techniques 2 rue de la Houssinière 44322 Nantes Cedex 3 
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Lecumberry, Myriam. Geometric structure of magnetic walls. Journées équations aux dérivées partielles (2005), article  no. 1, 11 p. doi : 10.5802/jedp.14. http://www.numdam.org/articles/10.5802/jedp.14/

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