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Structure géométrique des parois en micromagnétisme et des ondes de choc de solutions de lois de conservation scalaires

Abstract : Micromagnetism is the study of the magnetization wich is spontaneously created in ferromagnetic materials. This magnetization, whose norm is constant, is submitted to a free energy. We study the admissible limiting configurations of the magnetization in a few asymptotic regimes. The first result presented in this thesis is about the geometric structure of walls of limiting configurations for a two-dimensional micromagnetic model. The similarity between the micromagnetic problem and scalar conservation laws allows us to obtain, using the same method, a result on the structure of shock waves of some solutions of a scalar conservation law in one space dimension. Finally, we give a kinetic formulation of the mathematical problem associated to a three-dimensional micromagnetic model and we end by a regularizing result for kinetic averaging of the solutions of a liear kinetic equation.
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https://tel.archives-ouvertes.fr/tel-00004137
Contributor : Myriam Lecumberry <>
Submitted on : Friday, January 9, 2004 - 4:00:05 PM
Last modification on : Monday, March 25, 2019 - 4:52:05 PM
Long-term archiving on: : Friday, April 2, 2010 - 7:59:26 PM

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  • HAL Id : tel-00004137, version 1

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Myriam Lecumberry. Structure géométrique des parois en micromagnétisme et des ondes de choc de solutions de lois de conservation scalaires. Mathématiques [math]. Université de Nantes, 2003. Français. ⟨tel-00004137⟩

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