Growth estimates and uniform decay for the Vlasov–Poisson system | Zendy

Yang Dongcheng | Zendy

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Growth estimates and uniform decay for the Vlasov–Poisson system

Author(s) -

Yang Dongcheng

Publication year - 2017

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4356

Subject(s) - mathematics , norm (philosophy) , poisson distribution , vlasov equation , variable (mathematics) , mathematical analysis , electric field , poisson's equation , space (punctuation) , mathematical physics , plasma , physics , statistics , quantum mechanics , linguistics , philosophy , political science , law

We consider smooth compactly supported solution to the classical Vlasov–Poisson system in three space dimensions in the electrostatic case. An estimate on velocities is derived, showing a growth rate at most like the power 1/8 of the time variable. As a consequence, a better decay estimate is obtained for the electric field in theL ∞norm. Copyright © 2017 John Wiley & Sons, Ltd.

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