• DocumentCode
    535993
  • Title

    The existence of classical solution for the Fokker-Planck-Boltzmann equation

  • Author

    Xunwu, Yin

  • Author_Institution
    Coll. of Sci., Tianjin Polytech. Univ., Tianjin, China
  • Volume
    2
  • fYear
    2010
  • fDate
    9-10 Oct. 2010
  • Firstpage
    443
  • Lastpage
    446
  • Abstract
    We will study the non-stationary state homogeneous Fokker-Planck-Boltzmann equation ∂f/∂t - νΔξ f = Q(f, f)(ξ, t) in this article. By means of semi-group theory and compactness argument, we prove the global existence of the classical solutions with initial data in L21 (R3) in the case of hard potentials with angular cut-off. Furthermore we have mass, momentum conservation and energy linear relation identity.
  • Keywords
    Boltzmann equation; Fokker-Planck equation; entropy; group theory; statistical mechanics; Fokker-Planck-Boltzmann equation; energy linear relation identity; entropy; momentum conservation; semigroup theory; Bessel potential; Entropy; FPB equation; Weak compactness;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Future Information Technology and Management Engineering (FITME), 2010 International Conference on
  • Conference_Location
    Changzhou
  • Print_ISBN
    978-1-4244-9087-5
  • Type

    conf

  • DOI
    10.1109/FITME.2010.5656180
  • Filename
    5656180
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=535993