发表机构
School of Mathematical Sciences, Shanghai Jiao Tong University; CMA-Shanghai, and MOE-LSC, Shanghai Jiao Tong University（上海交通大学数学科学学院; 上海中心数学实验室和教育部线性代数与计算科学重点实验室，上海交通大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究物理真空中粘性气态恒星自由边界问题，针对球对称和正压运动，通过分析三维可压缩纳维-斯托克斯-泊松方程，在无初始数据大小限制下建立经典解全局适定性，解在移动边界光滑且捕捉相关边界行为。
AI 中文摘要
真空研究对理解可压缩流很重要。特别是在气态恒星运动研究中自然出现物理真空，其边界以非平凡有限法向加速度移动。本文分析了自引力粘性气态恒星具有退化粘性的三维可压缩纳维-斯托克斯-泊松方程的自由边界问题。对于球对称和正压运动，在不对初始数据大小作任何限制的情况下建立了经典解的全局适定性。所获解在移动边界处一直保持光滑，并捕捉到了莱恩-埃姆登恒星构型的物理真空边界行为。
英文摘要
The study of vacuum is important in understanding compressible flows. In particular, physical vacuum, which ensures a finite, nontrivial pressure-induced acceleration in the normal direction on the moving boundary, naturally arises in the study of the motion of gaseous stars. In this paper, we analyze the free boundary problem for the three-dimensional compressible Navier--Stokes--Poisson equations with degenerate viscosities for self-gravitating viscous gaseous stars. For the spherically symmetric and barotropic motion, we establish the global existence of the unique classical solution without any restriction on the size of the initial data. Our solutions are classical up to the moving boundary for positive times, and preserve the physical vacuum boundary behavior of the Lane--Emden star configuration.
Comments73pages. arXiv admin note: text overlap with arXiv:2606.22822
