## Relaxation to equilibrium for kinetic Fokker-Planck equation

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## Abstract

We want to study long-time behaviour of solutions

In Section 1 we provide an introduction and motivation for the equation, together with the setting of {Villani, Hypocoercivity} which will be useful in Section 2.

In Section 2 we will review the monograph
{Villani, Hypocoercivity}, where such convergence is proved, for

In Section 3 we shall take into consideration the work by Monmarch'{e} {Monmarche, Generalized Γ calculus} in which such convergence is established
by rephrasing some concepts in term of

The same author in {Monmarche, chaos kinetic particles}, which is the subject of Section 4, addresses a Vlasov-Fokker-Planck equation with a potential that generalizes