One dimensional spatial structure near a Hopf bifurcation at finite wavenumber

DOI10.1016/0167-2789(92)90208-5zbMath0763.76024OpenAlexW2080283206MaRDI QIDQ1207219

M. C. Cross, E. Y. Kuo

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90208-5

zbMATH Keywords

reflection coefficientoscillatory instabilityweakly nonlinear regimebinary fluid convectionfree slip convection modeltraveling wave state

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30)

Related Items (5)

Complex dynamics in the Hopf bifurcation with broken translation symmetry ⋮ Traveling wave instability in sustained double-diffusive convection ⋮ Global stability properties of a hyperbolic system arising in pattern formation ⋮ Convective and absolute instabilities of fluid flows in finite geometry ⋮ Nonlinear dynamics of waves and modulated waves in 1D thermocapillary flows. II: Convective/absolute transitions

Cites Work

• Nonlinear oscillatory convection: A quantitative phase dynamics approach
• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• Multidimensional nonlinear diffusion arising in population genetics
• Solutions of the Ginzburg-Landau Equation of Interest in Shear Flow Transition
• Phase-winding solutions in a finite container above the convective threshold
• Hopf bifurcation with broken circular symmetry
• The amplitude equation near the convective threshold: application to time-dependent heating experiments
• Effect of rotation on the stability of a bounded cylindrical layer of fluid heated from below
• Amplitude equations for travelling wave convection

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