Fourth-order modon in a rotating self-gravitating fluid
arXiv:2402.07479
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.
Accepted for publication in Physics of Fluids. arXiv admin note: text overlap with arXiv:2212.11330