Existence of Steady Symmetric Vortex Patch in a Disk-Reference-Cited by-同舟云学术

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Existence of Steady Symmetric Vortex Patch in a Disk

Published:2021-01-08 Issue:1 Volume:23 Page:
ISSN:1422-6928
Container-title:Journal of Mathematical Fluid Mechanics
language:en
Short-container-title:J. Math. Fluid Mech.

Author:

Cao Daomin,Wang Guodong,Zuo Bijun

Funder

National Natural Science Foundation of China

Chinese Academy of Sciences

Postdoctoral Research Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Condensed Matter Physics,Mathematical Physics

Link

http://link.springer.com/content/pdf/10.1007/s00021-020-00550-2.pdf

Reference24 articles.

1. Ambrosetti, A., Struwe, M.: Existence of steady vortex rings in an ideal fluid. Arch. Ration. Mech. Anal. 108, 97–109 (1989)

2. Arnold, V.I.: Mathematical Methods of Classical Mechanics. Graduate Texts in Mathematics, vol. 60. Springer, New York (1978)

3. Arnold, V.I., Khesin, B.A.: Topological Methods in Hydrodynamics. Applied Mathematical Sciences, vol. 125. Springer, New York (1998)

4. Badiani, T.V.: Existence of steady symmetric vortex pairs on a planar domain with an obstacle. Math. Proc. Camb. Philos. Soc. 123, 365–384 (1998)

5. Berger, M.S., Fraenkel, L.E.: Nonlinear desingularization in certain free-boundary problems. Commun. Math. Phys. 77, 149–172 (1980)

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