Fluid mechanical approximation to the degenerated drift-diffusion system from the compressible Navier-Stokes-Poisson system

Takayuki Kobayashi, Takayoshi Ogawa

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

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. To construct the approximation solution, we introduce a regularized, damped, viscous, compressible Navier-Stokes-Poisson equation; as the relaxation time τ → 0, the weak solution converges to that of the degenerated elliptic parabolic system. The entropy functional is rigorously derived from the energy inequality of the approximation system. We employ the argument developed in the theory of weak solutions in the compressible Navier-Stokes-Poisson system with the regularized pressure.

Original languageEnglish
Pages (from-to)1021-1054
Number of pages34
JournalIndiana University Mathematics Journal
Volume62
Issue number3
DOIs
Publication statusPublished - 2013 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)

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