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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.05059 |
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Table of 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.