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A Priori Estimate of Solutions of a Mixed Problem for the Vlasov–Poisson System with a Homogeneous External Magnetic Field

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Abstract

We consider the first mixed problem for the Vlasov–Poisson system with a homogeneous external magnetic field in an infinite cylinder. For solutions with supports of the distribution density functions of charged particles lying strictly in the inner cylinder, an a priori estimate of the strength of the self-consistent electric field via the initial distribution density functions is obtained.

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Funding

This work was supported by the Russian Science Foundation, project no. 22-21-00392.

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Authors and Affiliations

  1. RUDN University, Moscow, 117198, Russia

    A. L. Skubachevskii

  2. Moscow Center for Fundamental and Applied Mathematics, Moscow, 119991, Russia

    A. L. Skubachevskii

Authors
  1. A. L. Skubachevskii
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Correspondence to A. L. Skubachevskii.

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Translated by V. Potapchouck

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Skubachevskii, A.L. A Priori Estimate of Solutions of a Mixed Problem for the Vlasov–Poisson System with a Homogeneous External Magnetic Field. Diff Equat 58, 1668–1672 (2022). https://doi.org/10.1134/S00122661220120096

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  • DOI: https://doi.org/10.1134/S00122661220120096

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