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arXiv · 2511.15180

Singularity formation for the supersonic inward wave of compressible Euler equations with radial symmetry

Geng Chen·Faris A. El-Katri·Yanbo Hu·Yannan Shen
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Abstract

In this paper, we consider the singularity formation of smooth solutions for the compressible radially symmetric Euler equations. By applying the characteristic method and the invariant domain idea, we show that, for polytropic ideal gases with $\gamma\geq3$, the smooth solution develops a singularity in finite time for a class of initial supersonic inward waves.

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Geng Chen, Faris A. El-Katri, Yanbo Hu, Yannan Shen. 2025-11-19. Singularity formation for the supersonic inward wave of compressible Euler equations with radial symmetry. https://arxiv.org/abs/2511.15180

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