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The Vlasov–Poisson–Boltzmann System Near Vacuum

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Abstract:

Global classical solutions with small amplitude are constructed for the Cauchy problem to the Vlasov–Poisson–Boltzmann system, which describes the dynamics of charged particles interacting with their self-consistent electrostatic potential as well as with themselves through collisions.

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Authors and Affiliations

  1. Lefshitz Center for Dynamical Systems, Division of Applied Mathematics, Brown University,¶Providence, RI 02912, USA. E-mail: guoy@cfm.brown.edu, , , , , , US

    Yan Guo

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  1. Yan Guo
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Received: 29 September 2000 / Accepted: 27 November 2000

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Guo, Y. The Vlasov–Poisson–Boltzmann System Near Vacuum. Commun. Math. Phys. 218, 293–313 (2001). https://doi.org/10.1007/s002200100391

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  • DOI: https://doi.org/10.1007/s002200100391

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