Abstract: Sufficient conditions for the linear stability of quasi-geostrophic forced zonal flows are derived in the presence of bottom friction and horizontal diffusion of relative vorticity. The criteria are able to take into account ...

Abstract: This paper is a study on the stability of steady or nonsteady wind-driven, one-layer flows confined in a closed basin of arbitrary shape. The obtained necessary conditions for the instability are consistent with the behavior ...

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 ...

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 ...