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

Author

Listed:
  • Tan, Lihua
  • Fan, Yingzhe

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.

Suggested Citation

  • Tan, Lihua & Fan, Yingzhe, 2022. "The Vlasov–Poisson–Fokker–Planck system in the low regularity space," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922009055
    DOI: 10.1016/j.chaos.2022.112726
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