Regularity and asymptotic behavior of 1D compressible Navier-Stokes-Poisson equations with free boundary |
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Authors: | Zhigang Wu |
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Institution: | Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, PR China |
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Abstract: | In this paper, firstly, we consider the regularity of solutions in to the 1D Navier-Stokes-Poisson equations with density-dependent viscosity and the initial density that is connected to vacuum with discontinuities, and the viscosity coefficient is proportional to ρθ with 0<θ<1. Furthermore, we get the asymptotic behavior of the solutions when the viscosity coefficient is a constant. This is a continuation of S.J. Ding, H.Y. Wen, L. Yao, C.J. Zhu, Global solutions to one-dimensional compressible Navier-Stokes-Poisson equations with density-dependent viscosity, J. Math. Phys. 50 (2009) 023101], where the existence and uniqueness of global weak solutions in H1(0,1]) for both cases: μ(ρ)=ρθ, 0<θ<1 and μ=constant have been established. |
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Keywords: | Navier-Stokes-Poisson equations Regularity Asymptotic behavior Free boundary |
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