Landau damping

In 1946 Landau published his famous paper for the damping in the Vlasov equation. The Vlasov equation is a mean-field limit for the evolution of a plasma without any dissipation and following classical mechanics is time-reversible. Nevertheless, Landau predicted the damping of the electric field.

My Part III essay reviewed the linear theory and my PhD thesis gives an introduction focusing on the Volterra equation of the macroscopic quantities.

Finally, a lot of my work is about this behaviour in the Kuramoto model.