Collapse and concentration of vortex sheets in two-dimensional flow

DOI10.1007/s00162-009-0106-9zbMath1191.76028OpenAlexW2025332224MaRDI QIDQ983538

Kevin A. O'Neil

Publication date: 24 July 2010

Published in: Theoretical and Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00162-009-0106-9

zbMATH Keywords

periodic solutionvortex sheetpoint vortexrelative equilibrium

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47)

Related Items

Bilinear relative equilibria of identical point vortices, Dipole and multipole flows with point vortices and vortex sheets, Remarks on stationary and uniformly-rotating vortex sheets: rigidity results, Rotating equilibria of vortex sheets

Cites Work

• Relative equilibrium and collapse configurations of four point vortices
• Collapse of point vortex lattices
• Motion of three point vortices on a sphere
• Stability of two-dimensional vorticity filaments
• Convergence of the point vortex method for 2-D vortex sheet
• Stationary Configurations of Point Vortices
• Convergence of a Point Vortex Method for Vortex Sheets
• Vorticity filaments in two-dimensional turbulence: creation, stability and effect
• Vortex Dynamics
• Mathematical analysis of vortex sheets