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

Yifan Liu; Shuang Miao; Changhua Wei

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arXiv · 2606.28375

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

Yifan Liu·Shuang Miao·Changhua Wei

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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.

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Yifan Liu, Shuang Miao, Changhua Wei. 2026-06-19. On classification of dynamics for dust fluid under spherical symmetry in Schwarzschild spacetime. https://arxiv.org/abs/2606.28375

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