Abstract: In this talk, we will present some recent works on the long time behavior for  kinetic Fokker-Planck equation and related problems. We will present convergence to equilibrium of the kinetic Fokker-Planck and related equations either on the torus or on the whole space with a confining potential. We will present hypocoercivity frameworks as well as some necessary tools including enlargement of spaces, short time regularity, spreading of positivity and interpolation between spaces.  This talk is partly based on the speaker’s former work with J. A. Canizo, J. Evans and H. Yoldas.

Tencent meeting : 659-255-366