Sources and sinks in 1D traveling waves

DOI10.1016/S0167-2789(02)00683-8zbMath1076.76507MaRDI QIDQ1851371

Mark-Tiele Westra, Luc Pastur, Willem van de Water

Publication date: 16 December 2002

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

zbMATH Keywords

instabilityfree fluid surfacecoupled complex Ginzburg-Landau equation

Mathematics Subject Classification ID

Experimental work for problems pertaining to fluid mechanics (76-05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (5)

The structure of spatio-temporal defects in a spiral pattern in the Couette-Taylor flow ⋮ Front propagation into unstable states ⋮ Competition of spiral waves with anomalous dispersion in Couette-Taylor flow ⋮ Nonlinear dynamics of waves and modulated waves in 1D thermocapillary flows. I: General presentation and periodic solutions ⋮ Nonlinear dynamics of waves and modulated waves in 1D thermocapillary flows. II: Convective/absolute transitions

Cites Work

• Critical properties of convective waves in a one-dimensional system
• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• Sources and sinks of wave patterns
• Traveling waves in pure fluids locally heated along wires
• Sources, sinks and wavenumber selection in coupled CGL equations and experimental implications for counter-propagating wave systems
• Nonlinear dynamics of waves and modulated waves in 1D thermocapillary flows. II: Convective/absolute transitions
• Coherent and incoherent structures in systems described by the 1D CGLE: experiments and identification
• Pattern formation outside of equilibrium

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