Vorticity blowup in 2D compressible Euler equations
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929414434979840 |
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| author | Chen, Jiajie Cialdea, Giorgio Shkoller, Steve Vicol, Vlad |
| author_facet | Chen, Jiajie Cialdea, Giorgio Shkoller, Steve Vicol, Vlad |
| contents | We prove finite-time vorticity blowup for smooth solutions of the 2D compressible Euler equations with smooth, localized, and non-vacuous initial data. The vorticity blowup occurs at the time of the first singularity, and is accompanied by an axisymmetric implosion in which the swirl velocity enjoys full stability, as opposed to finite co-dimension stability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_06455 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vorticity blowup in 2D compressible Euler equations Chen, Jiajie Cialdea, Giorgio Shkoller, Steve Vicol, Vlad Analysis of PDEs Fluid Dynamics We prove finite-time vorticity blowup for smooth solutions of the 2D compressible Euler equations with smooth, localized, and non-vacuous initial data. The vorticity blowup occurs at the time of the first singularity, and is accompanied by an axisymmetric implosion in which the swirl velocity enjoys full stability, as opposed to finite co-dimension stability. |
| title | Vorticity blowup in 2D compressible Euler equations |
| topic | Analysis of PDEs Fluid Dynamics |
| url | https://arxiv.org/abs/2407.06455 |