Résumé
We analyze time averages of the norm of solutions to kinetic Fokker-Planck equations related to general Hamiltonians. We present detailed and constructive decay estimates for systems influenced by a confining potential, which accommodates fat-tail, subexponential, and (super-)exponential local equilibria, including the traditional Maxwellian scenario. A crucial component of our estimates is a modified Poincaré inequality, derived using a Lions-Poincaré inequality and an averaging lemma.
| langue originale | Anglais |
|---|---|
| Pages (de - à) | 3587-3622 |
| Nombre de pages | 36 |
| journal | SIAM Journal on Mathematical Analysis |
| Volume | 57 |
| Numéro de publication | 4 |
| Les DOIs | |
| état | Publié - 1 janv. 2025 |
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