Free boundary value problem to 3D spherically symmetric compressible Navier–Stokes–Poisson equations

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• 作者：Huihui Kong ; Hai-Liang Li
• 关键词：Compressible Navier–Stokes–Poisson equations ; Free boundary ; Spherically symmetric ; Global existence ; Long time behavior
• 刊名：Zeitschrift für angewandte Mathematik und Physik
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：68
• 期：1
• 全文大小：
• 刊物主题：Theoretical and Applied Mechanics; Mathematical Methods in Physics;
• 出版者：Springer International Publishing
• ISSN：1420-9039
• 卷排序：68

文摘

In the paper, we consider the free boundary value problem to 3D spherically symmetric compressible isentropic Navier–Stokes–Poisson equations for self-gravitating gaseous stars with \(\gamma \)-law pressure density function for \(\frac{6}{5} <\gamma \le \frac{4}{3}\). For stress-free boundary condition and zero flow density continuously across the free boundary, the global existence of spherically symmetric weak solutions is shown, and the regularity and long time behavior of global solution are investigated for spherically symmetric initial data with the total mass smaller than a critical mass.