Symmetric Relative Equilibria in the Four-Vortex Problem with Three Equal Vorticities

zbMath1327.76082arXiv1407.7151MaRDI QIDQ2942554

Ernesto Pérez-Chavela, Manuele Santoprete, Claudia Tamayo

Publication date: 11 September 2015

Full work available at URL: https://arxiv.org/abs/1407.7151

zbMATH Keywords

Gröbner basescollinear relative equilibriaconcave relative equilibriaconvex relative equilibriafour-vortex problem

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Dynamical systems approach to turbulence (76F20)

Related Items (8)

Numbers of relative equilibria in the planar four-vortex problem: some special cases ⋮ Existence and Stability of Four-Vortex Collinear Relative Equilibria with Three Equal Vorticities ⋮ Relative Equilibria in the 4-Vortex Problem Bifurcating from an Equilateral Triangle Configuration ⋮ Generic finiteness for a class of symmetric planar central configurations of the six-body problem and the six-vortex problem ⋮ Stacked central configurations in the 5-vortex problem ⋮ On the uniqueness of trapezoidal four-body central configurations ⋮ On the uniqueness of co-circular four body central configurations ⋮ Bifurcation of relative equilibria for vortices and general homogeneous potentials

Uses Software

• VortexCalculations

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