Regularity and asymptotic behavior of 1D compressible Navier-Stokes-Poisson equations with free boundary

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:374

Article

Wu, Zhigang

关键词: Navier-Stokes-Poisson equations;    Regularity;    Asymptotic behavior;    Free boundary;   

DOI  :  10.1016/j.jmaa.2010.08.036

来源: Elsevier

【 摘 要 】

In this paper, firstly, we consider the regularity of solutions in H(i)([0,1]) (i = 2.4) 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 rho(0) with 0 < theta < 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 H(1)([0,1]) for both cases: mu(rho) =rho(0), 0 < theta < 1 and mu = constant have been established. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

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