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Existence of global weak solutions for Navier‐Stokes‐Poisson equations with quantum effect and convergence to incompressible Navier‐Stokes equations
Author(s) -
Yang Jianwei,
Ju Qiangchang
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3304
Subject(s) - mathematics , navier–stokes equations , convergence (economics) , compressibility , hagen–poiseuille flow from the navier–stokes equations , poisson's equation , mathematical analysis , pressure correction method , poisson distribution , physics , statistics , economics , economic growth , thermodynamics
In this paper, we consider a three dimensional quantum Navier‐Stokes‐Poisson equations. Existence of global weak solutions is obtained, and convergence toward the classical solution of the incompressible Navier‐Stokes equation is rigorously proven for well prepared initial data. Furthermore, the associated convergence rates are also obtained. Copyright © 2014 John Wiley & Sons, Ltd.