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Nonlocal conservation laws for the two-dimensional Euler equation in vorticity form

Year: 2025
Type: preprint
Abstract: 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.
Language: English
Open Access status: green
OpenAlex ID: W6979229959
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