Hypocoercivity

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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.

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