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arXiv · 2305.11893

Solutions of the (3 + 1) dimensional Charney-Obukhov equation for the ocean, Part I: case of "separation'' of variables

V. A. Goloveshkin·A. G. Kudryavtsev·N. N. Myagkov
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Abstract

Exact solutions describing Rossby waves and vortices in ocean propagating along the zonal direction at a constant velocity are considered for the (3+1)-dimensional nonlinear Charney-Obukhov equation. In the first part of our work, we give examples of solutions of the Charney-Obukhov equation that satisfy the nonlinear boundary conditions of the ocean, for a special case that corresponds to the "separation" of variables.

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V. A. Goloveshkin, A. G. Kudryavtsev, N. N. Myagkov. 2023-05-12. Solutions of the (3 + 1) dimensional Charney-Obukhov equation for the ocean, Part I: case of "separation'' of variables. https://arxiv.org/abs/2305.11893

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