Nonlocal conservation laws for the two-dimensional Euler equation in vorticity form
Analysis of PDEs
2025-07-31 v1 Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.2507.22578,
title = {Nonlocal conservation laws for the two-dimensional Euler equation in vorticity form},
author = {Oleg I. Morozov},
journal= {arXiv preprint arXiv:2507.22578},
year = {2025}
}