Pulse-train solutions of a spatially heterogeneous amplitude equation arising in the subcritical instability of narrow gap spherical Couette flow

DOI10.1016/j.physd.2007.01.005zbMath1183.76717OpenAlexW2124023738WikidataQ57940426 ScholiaQ57940426MaRDI QIDQ882325

Andrew P. Bassom, Andrew D. Gilbert, Edward W. Blockley, Andrew M. Soward

Publication date: 23 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.physd.2007.01.005

zbMATH Keywords

Couette flowTaylor vorticesCGL-equationpulse-train

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Nonlinear effects in hydrodynamic stability (76E30) NLS equations (nonlinear Schrödinger equations) (35Q55) Rotation in hydrodynamic stability (76E07)

Related Items (2)

Axisymmetric pulse train solutions in narrow-gap spherical Couette flow ⋮ Stability on time-dependent domains: convective and dilution effects

Uses Software

• AUTO

Cites Work

• Singularities and groups in bifurcation theory. Volume II
• A divergence-free spectral expansions method for three-dimensional flows in spherical-gap geometries
• Global bifurcation to travelling waves with application to narrow gap spherical Couette flow
• An inhomogeneous Landau equation with application to spherical Couette flow in the narrow gap limit
• On the structure and formation of spiral Taylor–Görtler vortices in spherical Couette flow
• The world of the complex Ginzburg-Landau equation
• THE LINEAR STRABILITY OF THE FLOW IN THE NARROW GAP BETWEEN TWO CONCENTRIC ROTATING SPHERES
• THE INSTABILITY OF FLOW IN THE NARROW GAP BETWEEN TWO PROLATE SPHEROIDS. PART I. SMALL AXIS RATIO
• The linear stability of the flow in a narrow spherical annulus
• On the Finite amplitude thermal instability of a rapidly rotating fluid sphere
• On finite-amplitude subcritical instability in narrow-gap spherical Couette flow
• The onset of thermal convection in a rapidly rotating sphere
• The growth of Taylor vortices in flow between rotating cylinders
• Composite ``zigzag structures in the 1D complex Ginzburg-Landau equation
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