Exact energy stability of Bénard–Marangoni convection at infinite Prandtl number

DOI10.1017/jfm.2017.323zbMath1383.76171arXiv1702.02752OpenAlexW2600565518MaRDI QIDQ5364838

Andrew Wynn, Giovanni Fantuzzi

Publication date: 28 September 2017

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.02752

zbMATH Keywords

variational methodsMarangoni convectionnonlinear instability

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Variational methods applied to problems in fluid mechanics (76M30)

Related Items (2)

New bounds on the vertical heat transport for Bénard–Marangoni convection at infinite Prandtl number ⋮ Bounds on heat transfer for Bénard–Marangoni convection at infinite Prandtl number

Cites Work

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• Global stability analysis of fluid flows using sum-of-squares
• Variational bounds in dissipative systems
• On convection cells induced by surface tension
• Thermocapillary Instabilities
• Buoyancy-surface tension instability by the method of energy

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