On the Principle of Exchange of Stabilities in Rayleigh--Bénard Convection

DOI10.1137/S0036139900370388zbMath0982.76032OpenAlexW2012886351MaRDI QIDQ2706083

Isom H. Herron

Publication date: 19 March 2001

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139900370388

zbMATH Keywords

Rayleigh-Bénard convectionvariable gravity fieldprinciple of exchange of stabilitiestheory of positive operatorsvariable heat sourcepositivity of Green's function

Mathematics Subject Classification ID

Convection in hydrodynamic stability (76E06)

Related Items (6)

Critical Rayleigh number in Rayleigh-Bénard convection ⋮ Internally heated convection beneath a poor conductor ⋮ On the principle of exchange of stabilities in Rayleigh-Bénard convection, II-No-slip Boundary conditions ⋮ Well-posedness for compressible Rayleigh-Bénard convection ⋮ Spectral methods in linear stability. Applications to thermal convection with variable gravity field ⋮ Thermal instability in a liquid layer with permeable boundaries under the influence of variable gravity

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