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• W2149680418 abstract "The stability of convection in a two-layer system in which a layer of fluid with a temperature-dependent viscosity overlies and saturates a highly porous material is studied. Owing to the difficulties associated with incorporating the nonlinear advection term in the Navier–Stokes equations into a stability analysis, previous literature on fluid/porous thermal convection has modelled the fluid using the linear Stokes equations. This paper derives global stability for the full nonlinear system, by utilizing a model proposed by Ladyzhenskaya. The nonlinear stability boundaries are shown to be sharp when compared with the linear instability thresholds." @default.
• W2149680418 created "2016-06-24" @default.
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• W2149680418 date "2009-09-30" @default.
• W2149680418 modified "2023-10-16" @default.
• W2149680418 title "Sharp global nonlinear stability for a fluid overlying a highly porous material" @default.
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• W2149680418 doi "https://doi.org/10.1098/rspa.2009.0322" @default.
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