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Bose Condensates in Interaction with Excitations: A Kinetic Model

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Abstract

This paper deals with mathematical questions for Bose gases below the temperature T BEC where Bose-Einstein condensation sets in. The model considered is of two-component type, consisting of a kinetic equation for the distribution function of a gas of (quasi-)particles interacting with a Bose condensate, which is described by a Gross-Pitaevskii equation. Existence results and moment estimates are proved in the space-homogeneous, isotropic case.

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Authors and Affiliations

  1. Mathematical Sciences, Chalmers University, 41296, Göteborg, Sweden

    Leif Arkeryd

  2. LATP, Aix-Marseille University, 13453, Marseille Cedex 13, France

    Anne Nouri

Authors
  1. Leif Arkeryd
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  2. Anne Nouri
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Correspondence to Leif Arkeryd.

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Communicated by H. Spohn

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Arkeryd, L., Nouri, A. Bose Condensates in Interaction with Excitations: A Kinetic Model. Commun. Math. Phys. 310, 765–788 (2012). https://doi.org/10.1007/s00220-012-1415-1

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  • DOI: https://doi.org/10.1007/s00220-012-1415-1

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