Pattern formation and bistability in flow between counterrotating cylinders

DOI10.1016/0167-2789(88)90063-2zbMath0656.76088OpenAlexW2131451859MaRDI QIDQ1110417

Martin Golubitsky, William F. Langford

Publication date: 1988

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(88)90063-2

zbMATH Keywords

Hopf bifurcationbicritical pointspiral vortex flowsteady- state bifurcationTaylor vortex flowTaylor-Couette experiment

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Interfacial stability and instability in hydrodynamic stability (76E17) Hydrodynamic stability (76E99) Basic methods in fluid mechanics (76M99)

Related Items

Taylor--Couette problem and related topics, The effects of centrifugal force on the stability of axisymmetric viscous flow in a rotating annulus, The 2:1 steady/Hopf mode interaction in the two-layer Bénard problem, A local study of a double critical point in Taylor-Couette flow, Unveiling the competitive role of global modes in the pattern formation of rotating sphere flows, Global wake instabilities of low aspect-ratio flat-plates, Mixed-mode solutions in an air-filled differentially heated rotating annulus, A bifurcation giving birth to order in an impulsively driven complex system, Influence of energetics on the stability of viscoelastic Taylor–Couette flow, Degenerate \(O(2)\)-equivariant bifurcation equations and their applications to the Taylor problem, Global mode interaction and pattern selection in the wake of a disk: a weakly nonlinear expansion, The effect of physical boundaries on oscillatory bifurcation in counterrotating Taylor–Couette flow, Bifurcation and symmetry breaking, Convective and absolute instabilities in counter-rotating spiral Poiseuille flow, Ekman vortices and the centrifugal instability in counter-rotating cylindrical Couette flow, Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry, On the role of nonlinear correlations in reduced-order modelling

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