Cеминар "Динамические системы": Erwan Faou (INRIA-Rennes & IRMAR University of Rennes)

We will consider the dynamics of perturbations around an inhomogeneous stationary state of the Vlasov-HMF (Hamiltonian Mean-Field) model, satisfying a linearized stability criterion. Such stationary states are closely related to the dynamics of the pendulum system. We consider solutions of the linearized equation around the steady state, and prove the algebraic decay in time of the Fourier modes of their density. We prove moreover that these solutions exhibit a scattering behavior to a modified state, implying a linear  damping effect with an algebraic rate of damping.

Link: https://mi-ras-ru.zoom.us/j/98541889798?pwd=SGdnT2lPWCtrbzNjOHQyb09NS0dXdz09
Password:  933727