Fourth-order modon in a rotating self-gravitating fluid

被引：0
|
作者：
Lashkin, Volodymyr M. [1 ,2 ]
Cheremnykh, Oleg K. [2 ]
机构：
[1] Inst Nucl Res, Pr Nauki 47, UA-03028 Kiev, Ukraine
[2] Space Res Inst, Pr Glushkova 40 K4-1, UA-03187 Kiev, Ukraine
来源：
PHYSICS OF FLUIDS | 2024年 / 36卷 / 02期
关键词：
SOLITARY VORTICES; NONLINEAR-WAVES; SOLITONS; STABILITY; DYNAMICS; PLASMA;
D O I：
10.1063/5.0194440
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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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页数：7
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