Global solutions to one-dimensional compressible Navier-Stokes-Poisson equations with density-dependent viscosity
Global solutions to one-dimensional compressible Navier-Stokes-Poisson equations with density-dependent viscosity
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DOI：
10.1063/1.3078384
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发表时间：
2009-02
影响因子：
1.3
通讯作者：
Shijin Ding;Huanyao Wen;Lei Yao;Changjiang Zhu
中科院分区：
文献类型：
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作者：
Shijin Ding;Huanyao Wen;Lei Yao;Changjiang Zhu
本文证明了一维具有密度相关粘性和自由边界的可压缩等熵Navier-Stokes-Poisson方程整体弱解的存在性。初始密度ρ0∊W1，2n被一个正常数限制在下面，初始速度u0∊L2n。与酱等人的观点相反。具有密度相关粘性的一维可压缩等熵Navier-Stokes方程的整体弱解，方法应用。肛门。12,239(2005)]，本文中索波列夫指数n较小，粘滞系数μ=μ(ρ)是ρ的一般函数，包括μ(ρ)=c0ρθ(0
In this paper, we prove the global existence of weak solutions to one-dimensional compressible isentropic Navier–Stokes–Poisson equations with density-dependent viscosity and free boundaries. The initial density ρ0∊W1,2n is bounded below by a positive constant, and the initial velocity u0∊L2n. In contrast to Jiang et al. [“Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity,” Methods Appl. Anal. 12, 239 (2005)], the Sobolev exponent n is less in this paper, and the viscosity coefficient μ=μ(ρ) is a general function of ρ including the cases μ(ρ)=c0ρθ (0