Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid

Author:

Cao Daomin,Wang Guodong

Publisher

Springer Science and Business Media LLC

Subject

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

Reference32 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.: Conditions for nonlinear stability plane curvilinear flow of an idea fluid. Sov. Math. Dokl. 6, 773–777 (1965)

3. Arnold, V.I.: On an a priori estimate in the theory of hydrodynamical stability. Amer. Math. Soc. Transl. 79, 267–269 (1969)

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

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

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