The stationary Boltzmann equation in the slab with given weighted mass for hard and soft forces

• Leif Arkeryd ^[1] ; Anne Nouri ^[2]
  1. [1] Chalmers Institute of Technology Gothenburg, Sweden
  2. [2] Centre de Mathematiques Bat, France
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 27, Nº 3-4, 1998, págs. 533-556
• Idioma: inglés
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• Resumen

  • The stationary Boltzmann equation for hard and soft forces is considered in the slab. An L 1 existence theorem is proven in a given indata context with fixed total weighted mass. In the proof a new direct approach is introduced, which uses a certain coupling between mass and boundary flow. Compactness properties are extracted from entropy production estimates and from the boundary behaviour.