Velocity induced by a plane uniform vortex having the Schwarz function of its boundary with two simple poles
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Publication:1009374
DOI10.1155/2008/586567zbMath1162.30008OpenAlexW2029697543WikidataQ58645963 ScholiaQ58645963MaRDI QIDQ1009374
Publication date: 31 March 2009
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/55446
Related Items (5)
On the mother bodies of steady polygonal uniform vortices. Part I: numerical experiments ⋮ A study of the interactions between uniform and pointwise vortices in an inviscid fluid ⋮ An analytical study of the self-induced inviscid dynamics of two-dimensional uniform vortices ⋮ Initial stages of the interaction between uniform and pointwise vortices in an inviscid fluid ⋮ Evolution of the singularities of the Schwarz function corresponding to the motion of a vortex patch in the two-dimensional Euler equations
Cites Work
- Intrinsic dynamics of the boundary of a two-dimensional uniform vortex
- A class of exact multipolar vortices
- Growing vortex patches
- The construction of exact multipolar equilibria of the two-dimensional Euler equations
- Stability analysis of a class of two-dimensional multipolar vortex equilibria
- Axisymmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation
- Multipolar vortices and algebraic curves
- Analytical solutions for rotating vortex arrays involving multiple vortex patches
- Exact solutions for rotating vortex arrays with finite-area cores
- Vortex Dynamics
- Contour dynamics for the Euler equations in two dimensions
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