Nonlocal conservation laws for the two-dimensional Euler equation in vorticity form
Published: Jul 30, 2025
Last Updated: Jul 30, 2025
Authors:Oleg I. Morozov
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.