Convective and absolute instabilities of fluid flows in finite geometry

DOI10.1016/S0167-2789(97)00141-3zbMath0962.76526OpenAlexW2079513292MaRDI QIDQ1963413

M. R. E. Proctor, Edgar Knoblauch, S. M. Tobias

Publication date: 1 February 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00141-3

zbMATH Keywords

frequency selectioncomplex Ginzburg-Landau equationwave trainmean-field dynamo modeldriven dissipative systemsfront formationmagnetic field generation in Sunsecondary absolute instabilitiesthreshold for absolute instability

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30)

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Cites Work

• Noise-sustained structure, intermittency and the Ginzburg-Landau equation
• Dynamical properties of propagating front solutions of the amplitude equation
• One dimensional spatial structure near a Hopf bifurcation at finite wavenumber
• Front solutions for the Ginzburg-Landau equation
• Solutions of the Ginzburg-Landau Equation of Interest in Shear Flow Transition
• Dynamo waves in semi–infinite and finite domains
• Convection in a rotating cylinder. Part 1 Linear theory for moderate Prandtl numbers
• Absolute and convective instabilities of spatially periodic flows
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