Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589574 | Journal of Functional Analysis | 2016 | 40 Pages |
Abstract
We prove a global existence result with initial data of low regularity, and prove the trend to the equilibrium for the Vlasov–Poisson–Fokker–Planck system with small non-linear term but with a possibly large exterior confining potential in dimension d=2d=2 and d=3d=3. The proof relies on a fixed point argument using sharp estimates (at short and long time scales) of the semi-group associated to the Fokker–Planck operator, which were obtained by the first author.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Frédéric Hérau, Laurent Thomann,