Séminaire MAC

Trajectorial hypocoercivity and application to control theory

by Prof. Frédéric Hérau


We are concerned in this talk with the exponential stabilisation (spectral 
gap) for linear kinetic equations with degenerate thermalisation, i.e. when the 
collision operator vanishes on parts of the spatial domain. The method 
covers both scattering and Fokker-Planck type operators, and deals with external 
potential and boundary conditions, but in these talk we present only its core 
argument and restrict ourselves to the kinetic Fokker-Planck in the periodic torus 
with unit velocities and a thermalisation degeneracy. This is a joint work with 
Helge Dietert, Harsha Hutridurga and Clément Mouhot.

Organized by

Romain Duboscq, Ariane Trescases