On classification of dynamics for dust fluid under spherical symmetry in Schwarzschild spacetime

Yifan Liu; Shuang Miao; Changhua Wei

On classification of dynamics for dust fluid under spherical symmetry in Schwarzschild spacetime

Analysis of PDEs 2026-06-19 v1

Authors: Yifan Liu , Shuang Miao , Changhua Wei

Abstract

We investigate the dynamics of classical solutions to the dust fluid model under spherical symmetry in Schwarzschild spacetime. According to whether the solution will persist globally or develop a finite-time singularity, a precise classification of initial data is provided. Moreover, a detailed analysis on the exact blowup profile near the singularity is given.

Keywords

dust fluid Schwarzschild spacetime spherical symmetry global existence finite-time singularity blowup profile

Cite

@article{arxiv.2606.28375,
  title  = {On classification of dynamics for dust fluid under spherical symmetry in Schwarzschild spacetime},
  author = {Yifan Liu and Shuang Miao and Changhua Wei},
  journal= {arXiv preprint arXiv:2606.28375},
  year   = {2026}
}

Comments

30pages, 4figures, all comments are welcome