On the Evolution of Finite-amplitude Disturbance to the Barotropic and Baroclinic Quasigeostrophic Flows

Some new results on the evolution of finite-amplitude disturbances to the nonlinearly stable and unstable quasigeostrophic flows are presented. Both barotropic and multilayer haroclinic problems are investigated. The upper (lower) bounds on the energy and potential enstrophy of disturbances to the nonlinearly stable(unstable) basic flows are established.