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Local strong solution of Navier–Stokes–Poisson equations with degenerated viscosity coefficient
Authors:Qin Duan
Affiliation:1. College of Mathematics and Computational Science, Shenzhen University, Shenzhen, China;2. The Institute of Mathematical Sciences, Chinese University of Hong Kong, Hong Kong
Abstract:In this paper, we investigate the vacuum free boundary problem of a compressible Navier–Stokes–Poisson system with density‐dependent viscosity. By introducing Eulerian and Lagrange energy, we obtain a local in time well‐posedness of the strong solution to the Navier–Stokes–Poisson system in a spherically symmetric case. Copyright © 2015 John Wiley & Sons, Ltd.
Keywords:Navier–  Stokes–  Poisson  degenerated viscosity coefficient  strong solution
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