Thomas Normand
Biography
Short Bio:
Nantes Université
Specialist of PDE’s, semiclassical and microlocal analysis
Title: One-well metastability for an inelastic linear Boltzmann operator
Abstract: 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 $h$. 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.
