On the Ginzburg-Landau system of complex modulation equations for a rotating annulus with radial magnetic field

DOI10.1016/S0167-2789(01)00354-2zbMath1036.76021MaRDI QIDQ5951816

Daniel Ševčovič, M. Revallo

Publication date: 7 January 2002

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

zbMATH Keywords

asymptotic behaviour of solutionslocal Cartesian approximationweakly nonlinear regime

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Magnetohydrodynamics and electrohydrodynamics (76W05) Convection in hydrodynamic stability (76E06) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Rotation in hydrodynamic stability (76E07)

Cites Work

• Unnamed Item
• Geometric theory of semilinear parabolic equations
• Spatial dynamics of time periodic solutions for the Ginzburg-Landau equation
• Bounds for the solutions of the complex Ginzburg-Landau equation in terms of the dispersion parameters
• The stability of standing waves with small group velocity
• Convection in a rotating cylindrical annulus: thermal Rossby waves
• Convection in a rotating cylindrical annulus. Part 4. Modulations and transition to chaos at low Prandtl numbers
• Amplitude equations for travelling wave convection
• A domain-wall between single-mode and bimodal states.

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