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.

引用

页数：7

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