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Stability estimates of the Boltzmann equation with quantum effects

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Abstract

We study uniform stability estimates to the Boltzmann equation for quantum particles such as Bose-Einstein particles and Fermi-Dirac particles. When the small amount of particles expands toward the vacuum, we show that continuous mild solutions are L 1-stable and also satisfy BV-type estimates using a nonlinear functional approach.

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Authors and Affiliations

  1. Department of Mathematics, KIAS, Seoul, 130-722, Korea

    Myeongju Chae

  2. Department of Mathematical Sciences, Seoul National University, Seoul, Korea

    Seung-Yeal Ha

Authors
  1. Myeongju Chae
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  2. Seung-Yeal Ha
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Correspondence to Myeongju Chae.

Additional information

Communicated by H. Spohn

PACS05.20 Dd

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Chae, M., Ha, SY. Stability estimates of the Boltzmann equation with quantum effects. Continuum Mech. Thermodyn. 17, 511–524 (2006). https://doi.org/10.1007/s00161-006-0012-y

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  • DOI: https://doi.org/10.1007/s00161-006-0012-y

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