Analysis Seminar

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Landau Damping in Sobolev Spaces for the Vlasov-HMF Model

Speaker: Erwan Faou, INRIA Rennes and ENS Paris

Location: Warren Weaver Hall 1302

Date: Tuesday, March 4, 2014, 11 a.m.

Synopsis:

We consider the Vlasov-HMF (Hamiltonian Mean-Field) model. We consider solutions starting in a small Sobolev neighborhood of a spatially homogeneous state satisfying a linearized stability criterion (Penrose criterion). We prove that these solutions exhibit a scattering behavior to a modified state, which implies a nonlinear Landau damping effect with polynomial rate of damping.