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Global Existence for the Vlasov–Poisson System in Bounded Domains

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Abstract

In this paper we prove global existence for solutions of the Vlasov–Poisson system in convex bounded domains with specular boundary conditions and with a prescribed outward electrical field at the boundary.

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Authors and Affiliations

  1. Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, Republic of Korea

    Hyung Ju Hwang

  2. ICMAT (CSIC-UAM-UC3M-UCM), Facultad de Matematicas, Universidad Complutense, 28040, Madrid, Spain

    Juan J. L. Velázquez

Authors
  1. Hyung Ju Hwang
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  2. Juan J. L. Velázquez
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Corresponding author

Correspondence to Hyung Ju Hwang.

Additional information

Communicated by C. M. Dafermos

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Hwang, H.J., Velázquez, J.J.L. Global Existence for the Vlasov–Poisson System in Bounded Domains. Arch Rational Mech Anal 195, 763–796 (2010). https://doi.org/10.1007/s00205-009-0239-4

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  • DOI: https://doi.org/10.1007/s00205-009-0239-4

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