Fluid Mechanical Approximation to the Degenerated Drift-Diffusion System from Compressible Navier-Stokes-Poisson system

DOI

Bibliographic Information

Other Title
  • 圧縮性Navier-Stokes-Poisson方程式の緩和時間 0 極限と退化 drift-diffusion 方程式

Abstract

We consider the zero relaxation time approximation to the compressible Navier-Stokes Poisson system to derive the mono-polar drift-diffusion system of degenerated type and self-interaction equation of the degenerated type. To construct the approximation solution, we introduce a damped viscous compressible Navier-Stokes equation and as the relaxation time $goes to zero, the solution converges those of the degenerated elliptic parabolic systems.The entropy functional is rigorously derived from the approximation system. Self-similar scaled system is also considered and the analogous weak convergence as well as the rigorous treatment to derive the entropy

Journal

Details

  • CRID
    1390282680569039488
  • NII Article ID
    130004604066
  • DOI
    10.11345/japannctam.57.0.263.0
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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