Modelization of a split in a ferromagnetic body by an equi- valent boundary condition : Part 1. The classical case : no surface energies present - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Asymptotic Analysis Année : 2006

Modelization of a split in a ferromagnetic body by an equi- valent boundary condition : Part 1. The classical case : no surface energies present

Résumé

We study the influence of a thin split over the dynamic evolution of a ferromagnetic body. A naive numerical simulation would require a huge number of cells to model the split. To avoid this problem, we introduce an equivalent boundary condition which is obtained by a Taylor expansion in the thickness of the split. We prove the existence of solution to this new problem and then rigorously establish the convergence of the expansion.
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Dates et versions

hal-00336585 , version 1 (04-11-2008)

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  • HAL Id : hal-00336585 , version 1

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Kévin Santugini-Repiquet. Modelization of a split in a ferromagnetic body by an equi- valent boundary condition : Part 1. The classical case : no surface energies present. Asymptotic Analysis, 2006, 3-4, pp.227--259. ⟨hal-00336585⟩
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