Hypocoercivity
Analysis of PDEs
2007-05-23 v1
Abstract
This memoir attempts at a systematic study of convergence to stationary state for certain classes of degenerate diffusive equations, by means of well-chosen Lyapunov functionals. Typical examples are the kinetic Fokker--Planck and Boltzmann equation. Many open problems and possible directions for future research are discussed.
Cite
@article{arxiv.math/0609050,
title = {Hypocoercivity},
author = {C. Villani},
journal= {arXiv preprint arXiv:math/0609050},
year = {2007}
}