TY - JOUR
T1 - Fluid mechanical approximation to the degenerated drift-diffusion system from the compressible Navier-Stokes-Poisson system
AU - Kobayashi, Takayuki
AU - Ogawa, Takayoshi
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
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U2 - 10.1512/iumj.2013.62.5017
DO - 10.1512/iumj.2013.62.5017
M3 - Article
AN - SCOPUS:84904463246
VL - 62
SP - 1021
EP - 1054
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
SN - 0022-2518
IS - 3
ER -