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.
@article{JEDP_2005____A1_0, author = {Lecumberry, Myriam}, title = {Geometric structure of magnetic walls}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, year = {2005}, pages = {1-11}, doi = {10.5802/jedp.14}, mrnumber = {2352770}, language = {en}, url = {http://dml.mathdoc.fr/item/JEDP_2005____A1_0} }
Lecumberry, Myriam. Geometric structure of magnetic walls. Journées équations aux dérivées partielles, (2005), pp. 1-11. doi : 10.5802/jedp.14. http://gdmltest.u-ga.fr/item/JEDP_2005____A1_0/
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