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Bounds on the Growth of the Velocity Support for the Solutions of the Vlasov–Poisson Equation in a Torus

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Abstract

A bound on the growth of the velocity for the Vlasov–Poisson equation in a torus is given in one and two dimensions. The main tool used in the proof is a partition into fast and slow particles and the ergodic property of the free motion in a torus.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma La Sapienza, 00185, Rome, Italy

    Emanuele Caglioti & Carlo Marchioro

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  1. Emanuele Caglioti
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  2. Carlo Marchioro
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Caglioti, E., Marchioro, C. Bounds on the Growth of the Velocity Support for the Solutions of the Vlasov–Poisson Equation in a Torus. Journal of Statistical Physics 100, 659–677 (2000). https://doi.org/10.1023/A:1018623508809

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