Resonance and phase solitons in spatially-forced thermal convection

DOI10.1016/0167-2789(86)90107-7zbMath0621.76043OpenAlexW2068954888MaRDI QIDQ1090542

Pierre H. Coullet, Huerre, Patrick

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90107-7

zbMATH Keywords

fluid layerGalilean invariancesine-Gordon solitonslarge-scale phase dynamicsonset of the instabilityOverbeck-Boussinesq equationspatially-periodic excitationstationary phase solitonsstress-free, isothermal boundariestwo-dimensional amplitude evolution model

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Partial differential equations of mathematical physics and other areas of application (35Q99) Forced convection (76R05) Basic methods in fluid mechanics (76M99)

Related Items (9)

The coupling between turbulent, penetrative convection and internal waves ⋮ Propagative sine-Gordon solitons in the spatially forced Kelvin-Helmholtz instability ⋮ Derivation of amplitude equations and analysis of sideband instabilities in two-layer flows ⋮ Rayleigh–Bénard convection with a melting boundary ⋮ The Bénard problem for deep convection: Derivation of the Landau-Ginzburg equation ⋮ The Coupling of Gravity Waves and Convection: Amplitude Equations and Planform Selection ⋮ Ramped-induced states in the parametrically driven Ginzburg-Landau model ⋮ Effects of parametric disorder on a stationary bifurcation ⋮ Rayleigh–Bénard convection in the presence of spatial temperature modulations

Cites Work

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• Singular Perturbations of Bifurcations
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• Finite bandwidth, finite amplitude convection
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