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On stationary solutions to normal, coplanar discrete Boltzmann equation models

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  • معلومة اضافية
    • Contributors:
      Chalmers University of Technology Göteborg; Laboratoire d'Analyse, Topologie, Probabilités (LATP); Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
    • بيانات النشر:
      HAL CCSD
    • الموضوع:
      2020
    • Collection:
      Aix-Marseille Université: HAL
    • نبذة مختصرة :
      The paper proves existence of renormalized solutions for a class of velocity-discrete coplanar stationary Boltzmann equations with given indata. The proof is based on the construction of a sequence of approximations with L 1 compactness for the integrated collision frequency and gain term. L 1 compactness of a sequence of approximations is obtained using the Kolmogorov-Riesz theorem and replaces the L 1 compactness of velocity averages in the continuous velocity case, not available when the velocities are discrete. .
    • Relation:
      hal-02520761; https://hal.science/hal-02520761; https://hal.science/hal-02520761/document; https://hal.science/hal-02520761/file/ArkerydNouriCoplanar2020.pdf
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.21AEA30D