Nonlocal conservation laws for the two-dimensional Euler equation in vorticity form
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916871039614976 |
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| author | Morozov, Oleg I. |
| author_facet | Morozov, Oleg I. |
| contents | We combine the construction of the canonical conservation law and the nonlocal cosymmetry to derive a collection of nonlocal conservation laws for the two-dimensional Euler equation in vorticity form. For computational convenience and simplicity of presentation of the results we perform a complex rotation of the independent variables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22578 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonlocal conservation laws for the two-dimensional Euler equation in vorticity form Morozov, Oleg I. Analysis of PDEs Exactly Solvable and Integrable Systems We combine the construction of the canonical conservation law and the nonlocal cosymmetry to derive a collection of nonlocal conservation laws for the two-dimensional Euler equation in vorticity form. For computational convenience and simplicity of presentation of the results we perform a complex rotation of the independent variables. |
| title | Nonlocal conservation laws for the two-dimensional Euler equation in vorticity form |
| topic | Analysis of PDEs Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2507.22578 |