One case of vortex motion in fluid. (Translated from the Russian 1903 original) With an appendix by V. V. Meleshko and G. J. F. van Heijst

DOI10.1134/S1560354707020074zbMath1229.37115OpenAlexW2062582647MaRDI QIDQ655259

Sergey A. Chaplygin

Publication date: 3 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354707020074

zbMATH Keywords

inviscid fluidLamb-Chaplygin dipoletwo-dimensional coherent vortex structures

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47) History of fluid mechanics (76-03)

Related Items (11)

On a new particular solution of the equations of motion of a heavy solid in a liquid ⋮ Stability of Lamb dipoles ⋮ Some possible motions of a heavy solid in a fluid ⋮ Small oscillations of a heavy rigid body around a fixed point and certain cases of existence of ``linear integrals ⋮ Stability of Hill's spherical vortex ⋮ The pitfalls of investigating rotational flows with the Euler equations ⋮ Localized dipoles: From 2D to rotating shallow water ⋮ Different models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problem ⋮ Vyacheslav Vladimirovich Meleshko ⋮ Reduction of the problem of motion of a heavy rigid body with one fixed point to a single equation. New particular solution of the above problem ⋮ Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a pulsating cylindrical vortex. (Translated from the Russian 1899 original) With an appendix by V. V. Meleshko
• Quasi periodic vortex structures in two-dimensional flows in an inviscid incompressible fluid
• A whirlwindlike Chaplygin vortex
• Two variations on the theme of Lamb--Chaplygin: supersmooth dipole and rotating multipoles
• Interacting two-dimensional vortex structures: Point vortices, contour kinematics and stirring properties
• Steady multipolar planar vortices with nonlinear critical layers
• The structure and dynamics of dipolar vortices in a stratified fluid
• Advection of a vortex pair atmosphere in a velocity field of point vortices*
• Dynamical properties of vortical structures on the beta-plane
• On Chaplygin's investigations of two-dimensional vortex structures in an inviscid fluid
• Classification of robust isolated vortices in two-dimensional hydrodynamics
• Fluid Motions in the Presence of Strong Stable Stratification
• The structure and evolution of elliptical barotropic modons
• Classification of self-organized vortices in two-dimensional turbulence: the case of a bounded domain
• Viscous evolution of 2D dipolar vortices
• Planar relative equilibrium vortices with free boundaries

This page was built for publication: One case of vortex motion in fluid. (Translated from the Russian 1903 original) With an appendix by V. V. Meleshko and G. J. F. van Heijst