The stability of three-dimensional time-periodic flows with ellipsoidal stream surfaces

DOI10.1017/S0022112096007963zbMath0886.76033OpenAlexW2004732518MaRDI QIDQ4354052

G. K. Forster, Alex D. D. Craik

Publication date: 10 September 1997

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

Full work available at URL: https://doi.org/10.1017/s0022112096007963

zbMATH Keywords

unbounded flowsbounded flows

Mathematics Subject Classification ID

Hydrodynamic stability (76E99)

Related Items (4)

Three-dimensional forced-damped dynamical systems with rich dynamics: bifurcations, chaos and unbounded solutions ⋮ Evolution of a localized vortex in plane nonparallel viscous flows with constant velocity shear. II. Elliptic flow ⋮ The nonlinear development of three-dimensional disturbances at hyperbolic stagnation points: A model of the braid region in mixing layers ⋮ A three-dimensional autonomous system with unbounded `bending' solutions

Cites Work

• Almost periodic Schrödinger operators: A review
• The rotation number for almost periodic potentials
• On the three-dimensional instability of strained vortices
• The stability of two-dimensional linear flows
• The stability of unbounded two- and three-dimensional flows subject to body forces: some exact solutions
• The stability of three-dimensional time-periodic flows with spatially uniform strain rates
• Instability of bounded flows with elliptical streamlines
• Three-dimensional instability of strained vortices in a stably stratified fluid

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