Stability of weak solutions for the compressible Navier-Stokes-Poisson equations |
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| Authors: | Ru-xu Lian Ming-jie Li |
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| Affiliation: | 1. College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou, 450011, China
2. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China
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| Abstract: | In this paper, we consider the isentropic compressible Navier-Stokes-Poisson equations arising from transport of charged particles or motion of gaseous stars in astrophysics. We are interested in the case that the viscosity coefficients depend on the density and shall degenerate in the appearance of (density) vacuum, and show the L 1-stability of weak solutions for arbitrarily large data on spatial multi-dimensional bounded or periodic domain or whole space. |
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| Keywords: | compressible fluid Navier-Stokes-Poisson equations stability |
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