Arnold’s, V. I., 1965: Conditions for nonlinear stability of stationary plane curvilinear flows of an ideal fluid. Dokl. Akad. Nauk SSSR,162, 975–978.
Blandford, R. R., 1971: Boundary conditions in homogeneous ocean models. Deep-Sea Res.,18, 739–751.
Bryan, K., 1963: A numerical investigation of a nonlinear model of a wind-driven ocean. J. Atmos. Sci.,20, 594–606.
Carnevale, G. F., and J. D. Frederiksen, 1987: Nonlinear stability and statistical mechanics of flow over topography. J. Fluid Mech.,175, 157–181.
Crisciani, F., F. Cavallini, and R. Mosetti, 1994: Stability of analytical solutions of Stommel–Veronis ocean circulation models. J. Phys. Oceanogr.,24, 155–158.
Fofonoff, N. P., 1954: Steady flow in a frictionless homogeneous ocean. J. Mar. Res.,13, 254–262.
Griffa, A., and R. Salmon, 1989: Wind-driven ocean circulation and equilibrium statistical mechanics. J. Mar. Res.,47, 457–492.
Harrison, D. E., and S. Stalos, 1982: On the wind-driven ocean circulation. J. Mar. Res.,40, 773–791.
Ierley, G. R., and V. Sheremet, 1995: Multiple solutions and advection-dominated flows in the wind-driven circulation. Part I: Slip. J. Mar. Res.,53, 703–737.
Merkine, L., K. C. Mo, and E. Kalnay, 1985: On Fofonoff’s mode. Geophys. Astrophys. Fluid Dyn.,32, 175–196.
Niiler, P. P., 1966: On the theory of wind-driven ocean circulation. Deep-Sea Res.,13, 597–606.
Pedlosky, J., 1996: Ocean Circulation Theory. Springer-Verlag, 453 pp.
Stommel, H., 1948: The westward intensification of wind-driven ocean currents. Trans. Amer. Geophys. Union,29, 202–206.
Straughan, B., 1992: The Energy Method, Stability, and Nonlinear Convection. Springer-Verlag, 242 pp.
Veronis, G., 1966: Wind-driven ocean circulation—Part 2. Numerical solutions of the nonlinear problem. Deep-Sea Res.,13, 30–55.
Zimmerman, J. T. F., 1993: A simple model for the symmetry properties of nonlinear wind-driven ocean circulation. Geophys. Astrophys. Fluid Dyn.,71, 1–15.
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Niiler’s model of the general wind-driven ocean circulation is reformulated in a quasigeostrophic framework and solved analytically to first order of the perturbative expansion, both for interior and boundary layer regions. On this basis, the nonlinear unconditional stability of the solution is proven by means of the Lyapunov direct method.
Corresponding author address: Dr. Fulvio Crisciani, Istituto Sperimentale Talassografico del CNR, viale Romolo Gessi 2, I -34123 Trieste, Italy.
Niiler’s model of the general wind-driven ocean circulation is reformulated in a quasigeostrophic framework and solved analytically to first order of the perturbative expansion, both for interior and boundary layer regions. On this basis, the nonlinear unconditional stability of the solution is proven by means of the Lyapunov direct method.
Corresponding author address: Dr. Fulvio Crisciani, Istituto Sperimentale Talassografico del CNR, viale Romolo Gessi 2, I -34123 Trieste, Italy.
Arnold’s, V. I., 1965: Conditions for nonlinear stability of stationary plane curvilinear flows of an ideal fluid. Dokl. Akad. Nauk SSSR,162, 975–978.
Blandford, R. R., 1971: Boundary conditions in homogeneous ocean models. Deep-Sea Res.,18, 739–751.
Bryan, K., 1963: A numerical investigation of a nonlinear model of a wind-driven ocean. J. Atmos. Sci.,20, 594–606.
Carnevale, G. F., and J. D. Frederiksen, 1987: Nonlinear stability and statistical mechanics of flow over topography. J. Fluid Mech.,175, 157–181.
Crisciani, F., F. Cavallini, and R. Mosetti, 1994: Stability of analytical solutions of Stommel–Veronis ocean circulation models. J. Phys. Oceanogr.,24, 155–158.
Fofonoff, N. P., 1954: Steady flow in a frictionless homogeneous ocean. J. Mar. Res.,13, 254–262.
Griffa, A., and R. Salmon, 1989: Wind-driven ocean circulation and equilibrium statistical mechanics. J. Mar. Res.,47, 457–492.
Harrison, D. E., and S. Stalos, 1982: On the wind-driven ocean circulation. J. Mar. Res.,40, 773–791.
Ierley, G. R., and V. Sheremet, 1995: Multiple solutions and advection-dominated flows in the wind-driven circulation. Part I: Slip. J. Mar. Res.,53, 703–737.
Merkine, L., K. C. Mo, and E. Kalnay, 1985: On Fofonoff’s mode. Geophys. Astrophys. Fluid Dyn.,32, 175–196.
Niiler, P. P., 1966: On the theory of wind-driven ocean circulation. Deep-Sea Res.,13, 597–606.
Pedlosky, J., 1996: Ocean Circulation Theory. Springer-Verlag, 453 pp.
Stommel, H., 1948: The westward intensification of wind-driven ocean currents. Trans. Amer. Geophys. Union,29, 202–206.
Straughan, B., 1992: The Energy Method, Stability, and Nonlinear Convection. Springer-Verlag, 242 pp.
Veronis, G., 1966: Wind-driven ocean circulation—Part 2. Numerical solutions of the nonlinear problem. Deep-Sea Res.,13, 30–55.
Zimmerman, J. T. F., 1993: A simple model for the symmetry properties of nonlinear wind-driven ocean circulation. Geophys. Astrophys. Fluid Dyn.,71, 1–15.
| All Time | Past Year | Past 30 Days | |
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| Abstract Views | 0 | 0 | 0 |
| Full Text Views | 299 | 118 | 7 |
| PDF Downloads | 39 | 24 | 0 |
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