Introduction to hypocoercive methods and applications for simple linear inhomogeneous kinetic models

Frédéric Hérau (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

In this lectures given at the Morning side center of Mathematics in October 2016, we present in a very simple framework Hilbertian hypocoercive methods in the case of 1d kinetic inhomogeneous equations, and some illustrations concerning short time or long time behavior in a linear or non-linear perturbative setting

Mots clés: hypocoercivity hypoellipticity Fokker-Planck linear Boltzmann fractional kolmogorov Vlasov-Poisson-Fokker-Planck

Domaines: Equations aux dérivées partielles [math.AP]; Théorie spectrale [math.SP]

Frédéric Hérau. Introduction to hypocoercive methods and applications for simple linear inhomogeneous kinetic models. Lectures on the Analysis of Nonlinear Partial Differential Equations , 5 (MLM 5), pp.119-147, 2017, Morning Side Lectures in Mathematics Series. ⟨hal-01616979⟩