Success of Arnol’d’s Method in a Hierarchy of Ocean Models

Author:

Ripa P.

Publisher

Springer Berlin Heidelberg

Reference25 articles.

1. Arnold, V.I., 1965. Condition for nonlinear stationary plane curvilinear flows of an ideal fluid, Dokl. Akad. Nauk. USSR, 162: 975–978; (English transl: Soviet Math., 6: 773–777, 1965).

2. Arnold, V.I., 1966. On an apriori estimate in the theory of hydrodynamical stability, Izv. Vyssh. Uchebn. Zaved. Matematika, 54: 3–5; (English transl. Amer. Math. Soc. Transi., Series 2 79: 267–269, 1969).

3. Holm, D.D., J.E. Marsden, T. Ratiu, and A. Weinsten, 1985. Nonlinear stability of fluid and plasma equilibria, Phys. Reports, 123: 1–116.

4. Abarbanel, H.D.I., D.D. Holm, J.E. Marsden and T. Ratiu, 1986. Nonlinear stability of stratified fluid equilibria, Phil. Trans. Roy. Soc. London, A 318: 349–409.

5. McIntyre, M.E., and T.G. Shepherd, 1987. An exact local conservation theorem for finite-amplitude disturbances to non-parallel shear flows, with remarks on Hamiltonian structure and on Arnol’d’s stability theorems, J. Fluid Mech., 181: 527–565.

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