Displaying similar documents to “Fibered microstructures for some nonlocal Dirichlet forms”

Non-Markovian quadratic forms obtained by homogenization

Marc Briane (2003)

Bollettino dell'Unione Matematica Italiana

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This paper is devoted to the asymptotic behaviour of quadratic forms defined on L 2 . More precisely we consider the Γ -convergence of these functionals for the L 2 -weak topology. We give an example in which some limit forms are not Markovian and hence the Beurling-Deny representation formula does not hold. This example is obtained by the homogenization of a stratified medium composed of insulating thin-layers.

Remarks on the equatorial shallow water system

Chloé Mullaert (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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This article recalls the results given by A. Dutrifoy, A. Majda and S. Schochet in [1] in which they prove an uniform estimate of the system as well as the convergence to a global solution of the long wave equations as the Froud number tends to zero. Then, we will prove the convergence with weaker hypothesis and show that the life span of the solutions tends to infinity as the Froud number tends to zero.