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Séminaire de EDP - Physique Mathématique

One-well metastability for an inelastic linear Boltzmann operator

Thomas Normand

( Nantes Université )

Salle de Conférences

le 17 décembre 2024 à 11:00

We consider an inhomogeneous linear Boltzmann equation in a low temperature regime, in the presence of an external force deriving from a single-well potential and with a collision operator featuring multiple conservation laws. We start by giving a description of the purely imaginary spectrum of the associated operator. We then go further and provide a hypocoercive result on the spectrum with real part smaller than hh. It enables us to obtain some information on the long time behavior of the solutions and in particular to show the existence of metastable states. This is a joint work with Frédéric Hérau and Dorian Le Peutrec.