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Nonlocal conservation laws for the two-dimensional Euler equation in vorticity form (2507.22578v1)
Published 30 Jul 2025 in math.AP and nlin.SI
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.