Compactly supported anomalous weak solutions for 2D Euler equations with vorticity in Hardy spaces
| Autor: | Buck, Miriam, Modena, Stefano |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | In a previous work (arXiv:2306.05948), we constructed by convex integration examples of energy dissipating solutions to the 2D Euler equations on $\mathbb{R}^2$ with vorticity in the real Hardy space $H^p(\mathbb{R}^2)$. In the present paper, we develop tools that significantly improve that result in two ways: Firstly, we achieve vorticities in $H^p(\mathbb{R}^2)$ in the optimal range $p\in (0,1)$ compared to $(2/3,1)$ in our previous work. Secondly, the solutions constructed here possess compact support and in particular preserve linear and angular momenta. Comment: 37 pages. arXiv admin note: text overlap with arXiv:2306.05948 |
| Databáze: | arXiv |
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