Unconditional nonlinear stability in penetrative convection

DOI10.1080/03091928708208805zbMath0709.76048OpenAlexW2082396686WikidataQ114640369 ScholiaQ114640369MaRDI QIDQ3493971

Brian Straughan, Lawrence E. Payne

Publication date: 1987

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03091928708208805

zbMATH Keywords

nonlinear energy stabilitypenetrative convection model

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30)

Related Items (13)

Penetrative convection: heat transport with marginal stability assumption ⋮ Double diffusive porous penetrative convection-thawing subsea permafrost ⋮ Convection in a variable gravity field ⋮ Unconditional nonlinear stability in penetrative convection: Corrected and extended numerical results ⋮ Penetrative convection in anisotropic porous media with variable permeability ⋮ Nonlinear energy stability and convection near the density maximum ⋮ Patterned ground formation and penetrative convection in porous media ⋮ Energy methods for nonlinear stability in convection problems primarily related to geophysics ⋮ Penetrative convection in a micropolar fluid ⋮ A note on compound matrices ⋮ Penetrative convection in fluid layers with internal heat sources ⋮ Coherent heat transport in two-dimensional penetrative Rayleigh–Bénard convection ⋮ Penetrative convection in a porous medium with internal heat sources

Cites Work

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• Exchange of stabilities, symmetry, and nonlinear stability
• Contributions to the nonlinear theory of stability of viscous flow in pipes and between rotating cylinders
• Convection and gravity waves in two layer models. I. Overstable modes driven in conducting boundary layers
• Nonlinear modal analysis of penetrative convection
• Convection and gravity waves in two layer models, II. Overstable convection of large horizontal scales
• Finite amplitude instability thresholds in penetrative convection
• A nonlinear analysis of the stabilizing effect of rotation in the Bénard problem
• Convection in thawing subsea permafrost
• Penetrative Convection.

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