Lyapunov stability of ideal stratified fluid equilibria in hydrostatic balance

DOI10.1088/0951-7715/2/1/002zbMath0668.76026OpenAlexW2012373758MaRDI QIDQ3821766

Darryl D. Holm, Bruce Long

Publication date: 1989

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/2/1/002

zbMATH Keywords

Boussinesq approximationLyapunov stabilityLyapunov's direct methodinviscid dynamics of a continuously stratified, rotating, incompressible fluidnon-canonical Hamiltonian system in isopycnal coordinates

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Reaction effects in flows (76V05) Hydrodynamic stability (76E99) Incompressible inviscid fluids (76B99) Classical field theories (70Sxx)

Related Items (5)

Vortices in stably-stratified rapidly rotating Boussinesq convection ⋮ Shallow water equations with a complete Coriolis force and topography ⋮ Turbulence of near-inertial waves in the continuously stratified fluid ⋮ Elliptical vortices and integrable Hamiltonian dynamics of the rotating shallow-water equations ⋮ Hamiltonian balance equations

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