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Existence and non-uniqueness of stationary states for the Vlasov-Poisson equation on \(\mathbb{R}^3\) subject to attractive background charges

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Publication:6176086
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DOI10.1007/s42985-023-00241-3zbMath1516.35415arXiv2301.09134OpenAlexW4382724426MaRDI QIDQ6176086

Raphael Winter

Publication date: 25 July 2023

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.09134



Mathematics Subject Classification ID

Vlasov equations (35Q83)




Cites Work

  • Optimal time decay of the Vlasov-Poisson-Boltzmann system in \({\mathbb R^3}\)
  • Existence of stationary solutions to the Vlasov-Poisson-Boltzmann system
  • Stability of a point charge for the Vlasov-Poisson system: the radial case
  • Stability of the One-Species Vlasov–Poisson–Boltzmann System
  • Non‐linear stability for the Vlasov–Poisson system—the energy‐Casimir method
  • Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge


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