Fourth-order modon in a rotating self-gravitating fluid

Volodymyr M. Lashkin; Oleg K. Cheremnykh

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arXiv · 2402.07479

Fourth-order modon in a rotating self-gravitating fluid

Volodymyr M. Lashkin·Oleg K. Cheremnykh

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Abstract

We present a two-dimensional nonlinear equation to govern the dynamics of disturbances in a rotating self-gravitating fluid. The nonlinear term of the equation has the form of a Poisson bracket (Jacobian), and the linear part contains, along with the Laplacian, a biharmonic operator. A solution was found in the form of a dipole vortex (modon). The solution and all its derivatives up to the fourth order are continuous on the separatrix.

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Volodymyr M. Lashkin, Oleg K. Cheremnykh. 2024-02-12. Fourth-order modon in a rotating self-gravitating fluid. https://arxiv.org/abs/2402.07479

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