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Stability of Analytical Solutions of Stommel–Veronis Ocean Circulation Models
Publisher: American Meteorological Society
Abstract: The Lyapunov direct method is applied to the quasigeostrophic equations to prove the nonlinear asymptotic stability, even in the kinetic energy norm, of the Veronis analytical solutions of the classical Stommel?Veronis ...
Nonlinear Asymptotic Stability of Munk's Solution of the General Circulation Problem
Publisher: American Meteorological Society
Abstract: The Lyapunov direct method is applied to the quasigeostrophic dynamics to deduce a nonlinear, asymptotic stability criterion, in the energy norm, for the wind-driven, one-layered oceanic circulation. The lateral diffusion ...
Dynamic Boundary Conditions Revisited
Publisher: American Meteorological Society
Abstract: The applicability of the super-slip boundary condition in wind-driven quasigeostrophic ocean circulation models is reexamined. The energy and enstrophy characteristics of the super-slip condition are discussed for the ...