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.
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.