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

Abstract

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

References in corpus (1)

• Hypocoercivity and exponential time decay for the linear inhomogeneous relaxation Boltzmann equation

Cited by in corpus (4)

• Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations
• The Kinetic Fokker-planck Equation With Mean Field Interaction
• Trend to the equilibrium for the Fokker-Planck system with a strong external magnetic field
• Feedback control for random, linear hyperbolic balance laws