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Landau damping in Sobolev spaces for the Vlasov-HMF model
- Publication Year :
- 2014
-
Abstract
- 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.
- Subjects :
- Mathematics - Analysis of PDEs
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1403.1668
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s00205-015-0911-9