Extended Galerkin-Eckhaus method in nonlinear thermoconvection

DOI10.1515/JNETDY.2007.007zbMath1134.80003MaRDI QIDQ2469325

Mireille Dondlinger, Jonathan Margerit, Pierre C. Dauby

Publication date: 5 February 2008

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

zbMATH Keywords

Rayleigh-Bénard problemGalerkin-Eckhaus methodnonlinear thermoconvection

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Free convection (76R10) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

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Cites Work

• Finite amplitude cellular convection
• Derivation of the amplitude equation at the Rayleigh–Bènard instability
• Nonlinear Marangoni convection in bounded layers. Part 1. Circular cylindrical containers
• Nonlinear Marangoni convection in bounded layers. Part 2. Rectangular cylindrical containers
• Bénard–Marangoni convection: planforms and related theoretical predictions
• HEXAGONAL MARANGONI CONVECTION IN A RECTANGULAR BOX WITH SLIPPERY WALLS
• Bénard–Marangoni instability in rigid rectangular containers
• Bénard–Marangoni convection at low Prandtl number
• Pattern formation outside of equilibrium

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