Results 271 to 280 of about 12,014 (293)

Advection by Point Vortices

2004
Abstract A system of point vortices is a specific type of flow with singularities at the points of the vortices location. Being an exact solution of the Euler equation, a set of point vortices is a convenient model to study different problems of fluid dynamics and turbulence.
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Desingularizations of systems of point vortices

Physica D: Nonlinear Phenomena, 1988
Consider the evolution of an incompressible inviscid fluid in \({\mathbb{R}}^ 2\). \textit{N. J. Zabusky} [Collective phenomena, 4th Int. Conf., Moscow 1981, Ann. N. Y. Acad. Sci. 373, 160-170 (1981); for the entire collection see Zbl 0568.00003] conjectured that: Given a steady system of point vortices there exists a one-parameter family of steady ...
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Self-Similar Collapse of n Point Vortices

Journal of Nonlinear Science, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Energy Distribution in a Neutral Gas of Point Vortices

Journal of Statistical Physics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Le, K. C., Berdichevsky, V. L.
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Method for finding stationary states of point vortices

Physical Review A, 1987
The condition for stationary configurations of point vortices (or screw dislocations, line charges, etc.) having arbitrary strengths embedded in an external flow field is expressed as a differential equation for functions whose zeros are the vortex positions. For vortices of unit strength but mixed sign the stationary states are closely related to both
, Kadtke, , Campbell
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Improbability of Collisions of Point-Vortices in Bounded Planar Domains

SIAM Review, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Numerical simulation of hydrodynamics by the method of point vortices

Journal of Computational Physics, 1973
Reprinted from ibid. 13, 363-379 (1973; Zbl 0267.76009).
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Chaos and collapse of a system of point vortices

Fluid Dynamics Research, 1988
A system of point vortices, which is governed by the Hamiltonian form, permits various kinds of singular motions, such as chaos and collapse. In this article, the phenomenon of collapse is analysed from the viewpoint of singularities in the complex time plane.
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Corotating five point vortices in a plane

2002
Let us consider the motion of assembly of point vortices in the two- dimensional incompressible ideal fluid. The motion is described by an ordinary differential equation, and we focus our attention on the relative equilibria which imply the corotation of vortices.
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Statistical mechanics of point vortices

Physical Review E, 1995
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