Nonlinear stability of multilayer quasi-geostrophic flow

DOI10.1017/S0022112094000625zbMath0804.76039MaRDI QIDQ4304641

Theodore G. Shepherd, Qingcun Zeng, Mu Mu, Yong-Ming Liu

Publication date: 31 August 1994

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

stability criteriontwo-layer flowAndrew's theoremArnol'd second stability theoremcirculation disturbancessign- indefinite energy-Casimir invariants

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items

Nonlinear stability of continuously stratified quasi-geostrophic flow, Nonlinear instability of Phillips model, Optimality of a nonlinear stability criterion of two-layer Phillips model., Nonlinear baroclinic equilibration at finite supercriticality, Nonlinear saturation of baroclinic instability in the generalized Phillips model. I: The upper bound on the evolution of disturbance to the nonlinearly unstable basic flow

Cites Work

• 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
• Wave energy-momentum and pseudoenergy-momentum conservation for the layered quasi-geostrophic instability problem