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Séminaire de EDP - Physique Mathématique

Dynamics of non homogenous fluids in low Froude number regime

Stefano Scrobogna

( IMB )

Salle 2

le 13 juin 2017 à 14:00

The aim of the talk is to provide a rigorous description of the dynamic of non-homogeneous fluids in low Froude number regime. The density profile is considered to be a first-order perturbation of a gravitational equilibrium state. We prove that, in a spatially periodic setting, the evolution equations describing the dynamic of such fluids are globally well-posed in Hs(T3),s>1/2H^s \left( \mathbb{T}^3\right), s>1/2.