Asymmetric Self-similar Spiral Solutions of 2-D Incomressible Euler Equations
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908465223434240 |
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| author | Choi, Hyungjun |
| author_facet | Choi, Hyungjun |
| contents | We construct nonradial, self-similar solutions to the two-dimensional incompressible Euler equations without assuming rotational symmetry. These solutions extend the study of self-similar algebraic spiral flows, initiated by Elling and further developed by Shao-Wei-Zhang [41], where m-fold symmetry with m>=2 was assumed. Moreover, they bear resemblance to the numerical simulations of Bressan-Shen [10], in connection with the ongoing investigation into non-uniqueness of solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05059 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymmetric Self-similar Spiral Solutions of 2-D Incomressible Euler Equations Choi, Hyungjun Analysis of PDEs We construct nonradial, self-similar solutions to the two-dimensional incompressible Euler equations without assuming rotational symmetry. These solutions extend the study of self-similar algebraic spiral flows, initiated by Elling and further developed by Shao-Wei-Zhang [41], where m-fold symmetry with m>=2 was assumed. Moreover, they bear resemblance to the numerical simulations of Bressan-Shen [10], in connection with the ongoing investigation into non-uniqueness of solutions. |
| title | Asymmetric Self-similar Spiral Solutions of 2-D Incomressible Euler Equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.05059 |