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arXiv · 2507.22578

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

Oleg I. Morozov
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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.

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Oleg I. Morozov. 2025-07-30. Nonlocal conservation laws for the two-dimensional Euler equation in vorticity form. https://arxiv.org/abs/2507.22578

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