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Theses

Homogénéisation et analyse numérique d'équations elliptiques et paraboliques dégénérées.

Abstract : This thesis is about two topics. In a first part, we look at the existence of stationnary solutions of mean curbature problem with an external fields thanks to the existence of global minimizers to some perimeter problem. This problem is the minimization of an energy on sets with a term of perimeter, and an external energy. Those stationnary solutions give bounds to the evolution of others solutions. Moreover if we change the external energy of the perimeter problem we can approach a solution of the evolution of an interface by mean curvature. In a second part, we present an algorithm wich calculate the solution of a Dirichlet problem for the Infinity Laplacian thanks to Aronsson's equation.
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https://pastel.archives-ouvertes.fr/pastel-00717274
Contributor : Gilles Thouroude <>
Submitted on : Thursday, July 12, 2012 - 2:23:38 PM
Last modification on : Wednesday, March 27, 2019 - 4:08:30 PM
Long-term archiving on: : Saturday, October 13, 2012 - 2:30:16 AM

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Gilles Thouroude. Homogénéisation et analyse numérique d'équations elliptiques et paraboliques dégénérées.. Analyse numérique [math.NA]. Ecole Polytechnique X, 2012. Français. ⟨pastel-00717274⟩

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