Fourth-order modon in a rotating self-gravitating fluid
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916122109935616 |
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| author | Lashkin, Volodymyr M. Cheremnykh, Oleg K. |
| author_facet | Lashkin, Volodymyr M. Cheremnykh, Oleg K. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07479 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fourth-order modon in a rotating self-gravitating fluid Lashkin, Volodymyr M. Cheremnykh, Oleg K. Pattern Formation and Solitons Fluid Dynamics 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. |
| title | Fourth-order modon in a rotating self-gravitating fluid |
| topic | Pattern Formation and Solitons Fluid Dynamics |
| url | https://arxiv.org/abs/2402.07479 |