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On the higher order corrections to the Fokker–Planck equation

✍ Scribed by A.V. Plyukhin

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
233 KB
Volume
351
Category
Article
ISSN
0378-4371

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📜 SIMILAR VOLUMES

Higher moments for kinetic equations: Th
Higher moments for kinetic equations: The Vlasov–Poisson and Fokker–Planck cases
✍ B. Perthame 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 459 KB

## Abstract Let us consider a solution __f__(__x__,__v__,__t__)ϵ__L__^1^(ℝ^2N^ × [0,__T__]) of the kinetic equation equation image where |__v__|^α+1^ __f__~o~,|__v__|^α^ __ϵL__^1^ (ℝ__2N__ × [0, __T__]) for some α< 0. We prove that __f__ has a higher moment than what is expected. Namely, for any b