• English
  • Deutsch
  • Log In
    Password Login
    Research Outputs
    Fundings & Projects
    Researchers
    Institutes
    Statistics
Repository logo
Fraunhofer-Gesellschaft
  1. Home
  2. Fraunhofer-Gesellschaft
  3. Artikel
  4. The uniformly heated inelastic Boltzmann equation in Fourier space
 
  • Details
  • Full
Options
2010
Journal Article
Title

The uniformly heated inelastic Boltzmann equation in Fourier space

Abstract
In this article, we present an alternative formulation of the Boltzmann equation for diffusively driven granular media. The equation is considered with minimal a priori assumptions, i.e. in weak form in the sense of tempered distributions. Using shifted test functions and the Fourier transform, it is seen that the transformed problem contains only a threefold integral. For constant restitution coefficients and the variable hard spheres model, explicit expressions of the integral kernel in the transformed collision operator are obtained. The version of the equation derived here is a true extension of the elastic case. Some well-known results for Maxwell molecules with inelastic interactions are recovered.
Author(s)
Kirsch, R.
Rjasanow, S.
Journal
Kinetic and related models  
DOI
10.3934/krm.2010.3.445
Language
English
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
  • Cookie settings
  • Imprint
  • Privacy policy
  • Api
  • Contact
© 2024