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Truncation and preservation of moment properties for Fokker-Planck moment equations

✍ Scribed by Ralph M Wilcox; Richard Bellman


Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
428 KB
Volume
32
Category
Article
ISSN
0022-247X

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Higher moments for kinetic equations: Th
✍ B. Perthame πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 459 KB

## Abstract Let us consider a solution __f__(__x__,__v__,__t__)Ο΅__L__^1^(ℝ^2N^ Γ— [0,__T__]) of the kinetic equation equation image where |__v__|^Ξ±+1^ __f__~o~,|__v__|^Ξ±^ __Ο΅L__^1^ (ℝ__2N__ Γ— [0, __T__]) for some Ξ±< 0. We prove that __f__ has a higher moment than what is expected. Namely, for any b