A model equation for nonlinear wavelength selection and amplitude evolution of frontal waves

DOI10.1007/BF02430642zbMath0812.35099MaRDI QIDQ1341672

Michael Ghil, Nathan Paldor

Publication date: 9 January 1995

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

zbMATH Keywords

regularizationenergy integralsweakly nonlinear wavesfrontal instabilityreduction to finite dimensions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ill-posed problems for PDEs (35R25) General theory of rotating fluids (76U05) Meteorology and atmospheric physics (86A10)

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Cites Work

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• Numerical solution of the equation of heat conduction for preceding times
• Applications of centre manifold theory
• Global bifurcations and chaos. Analytical methods
• Integral manifolds and inertial manifolds for dissipative partial differential equations
• Nonlinear waves on a coupled density front
• Stable and unstable shear modes of rotating parallel flows in shallow water
• Ageostrophic instability of ocean currents
• Non-Hamiltonian Perturbations of Integrable Systems and Resonance Trapping

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