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Optimal Convergence Rates of Classical Solutions for Vlasov-Poisson-Boltzmann System

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Abstract

The dynamics of charged dilute particles can be modeled by the two species Vlasov-Poisson-Boltzmann system when the particles interact through collisions in the self-induced electric field. By constructing the compensating function for multi-species particle system, the optimal time decay of global classical solutions to this system near a global Maxwellian is obtained through a refined energy method.

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Authors and Affiliations

  1. Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong

    Tong Yang

  2. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, P. R. China

    Hongjun Yu

Authors
  1. Tong Yang
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  2. Hongjun Yu
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Correspondence to Tong Yang.

Additional information

Communicated by P. Constantin

Dedicated to Professor Ling Hsiao on the Occasion of Her 70th Birthday

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Yang, T., Yu, H. Optimal Convergence Rates of Classical Solutions for Vlasov-Poisson-Boltzmann System. Commun. Math. Phys. 301, 319–355 (2011). https://doi.org/10.1007/s00220-010-1142-4

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