Seminar talk, 16 February 2011

Speaker: Maxim Pavlov

Title: Relationships between $2+1$ dimensional quasilinear equations of the first order, kinetic equations, and hydrodynamic chains

Abstract:
We consider three kinetic equations of the Vlasov type (collisionless Boltzmann equations). We present a canonical way to construct corresponding hydrodynamic chains. These kinetic equations are nothing but coverings for associated 2+1 quasilinear equations of the first order, which can be obtained directly from aforementioned hydrodynamic chains.

Target of the talk is to discuss a generalization of these results on more complicated dispersive and nonlocal integrable systems.