The Vlasov–Poisson–Fokker–Planck system in the low regularity space

Lihua Tan and Yingzhe Fan

Chaos, Solitons & Fractals, 2022, vol. 164, issue C

Abstract: Motivated by Duan et al.(Comm. Pure Appl. Math.74 (2021), no. 5, 932-1020.), we show that the mild solutions to the Vlasov–Poisson–Fokker–Planck system exists globally in time near a global Maxwellian provided that we take small-amplitude initial data in the function space Lk1LT∞Lv2. As a product, we also get the exponential time decay of the solution.

Keywords: Vlasov–Poisson–Fokker–Planck system; Exponential time decay; Global existence; Cauchy problem; Small-amplitude initial data (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922009055

DOI: 10.1016/j.chaos.2022.112726

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