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Global mild solutions to the relativistic Vlasov–Poisson–Fokker–Planck system in the whole space

Lihua Tan and Yingzhe Fan

Chaos, Solitons & Fractals, 2024, vol. 183, issue C

Abstract: In this manuscript, we consider the Cauchy problem of the relativistic Vlasov–Poisson–Fokker–Planck system in the whole space. The global existence and the exponential time decay rates of the mild solutions around a global relativistic Maxwellian are obtained under assumption that initial data satisfies some smallness in the low regularity space Lk1LT∞Lv2.

Keywords: Relativistic Vlasov–Poisson–Fokker–Planck system; Global existence; The whole space; Low regularity space (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:183:y:2024:i:c:s096007792400434x

DOI: 10.1016/j.chaos.2024.114882

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