Existence of global weak solutions for Navier‐Stokes‐Poisson equations with quantum effect and convergence to incompressible Navier‐Stokes equations |
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| Authors: | Jianwei Yang Qiangchang Ju |
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| Affiliation: | 1. College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Henan Province, China;2. Institute of Applied Physics and Computational Mathematics, Beijing, China |
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| Abstract: | 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. |
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| Keywords: | Quantum Navier‐Stokes‐Poisson equations weak solutions Quasi‐neutral limit, vanishing damping, incompressible Navier‐stokes equations subclass |
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