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

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.

Publication Details

Journal
ArXiv.org
Published
2025-07-30
Primary Topic
Navier-Stokes equation solutions
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article
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article

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

ArXiv.org
Navier-Stokes equation solutions
article

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

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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.

ArXiv.org
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Navier-Stokes equation solutions
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Nonlocal conservation laws for the two-dimensional Euler equation in vorticity form · ArXiv.org (2025) | TGRS Research Map | TGRS