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Local strong solution of Navier–Stokes–Poisson equations with degenerated viscosity coefficient
Author(s) -
Duan Qin
Publication year - 2015
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.3354
Subject(s) - mathematics , compressibility , mathematical analysis , navier–stokes equations , poisson distribution , eulerian path , viscosity , boundary value problem , hagen–poiseuille flow from the navier–stokes equations , boundary (topology) , poisson's equation , energy method , non dimensionalization and scaling of the navier–stokes equations , mechanics , physics , thermodynamics , statistics , lagrangian
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.