Dipole and Multipole Flows with Point Vortices and Vortex Sheets

Author:

O’Neil Kevin A.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference19 articles.

1. Aref, H., Newton, P.K., Stremler, M.A., Tokieda, T., and Vainchtein, D., Vortex Crystals, in Advances in Applied Mechanics: Vol. 39, E. van derGiessen, H. Aref (Eds.), San Diego: Acad. Press, 2003, pp. 1–79.

2. Burton, G.R., Rearrangements of Functions, Saddle Points and Uncountable Families of Steady Configurations for a Vortex, Acta Math., 1989, vol. 163, nos. 3–4, pp. 291–309.

3. Cao, D., Liu, Zh., and Wei, J., Regularization of Point Vortices Pairs for the Euler Equation in Dimension Two, Arch. Ration. Mech. Anal., 2014, vol. 212, no. 1, pp. 179–217.

4. Crowdy, D.G., Exact Solutions for Rotating Vortex Arrays with Finite-Area Cores, J. Fluid Mech., 2002, vol. 469, pp. 209–235.

5. Crowdy, D. and Marshall, J., Growing Vortex Patches, Phys. Fluids, 2004, vol. 16, no. 8, pp. 3122–3130.

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1. Remarks on stationary and uniformly rotating vortex sheets: flexibility results;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2022-05-09

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3. Remarks on Stationary and Uniformly-rotating Vortex Sheets: Rigidity Results;Communications in Mathematical Physics;2021-07-15

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5. Rotating equilibria of vortex sheets;Physica D: Nonlinear Phenomena;2020-02

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