Critical Rayleigh number in Rayleigh-Bénard convection

DOI10.1090/S0033-569X-09-01179-4zbMath1185.35019OpenAlexW2048989562MaRDI QIDQ5305327

Yan Guo, Yong Qian Han

Publication date: 22 March 2010

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/distribution/qam/2010-68-01/S0033-569X-09-01179-4/home.html

zbMATH Keywords

Boussinesq approximationnonlinear instability

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45)

Related Items (11)

Nonlinear thermal instability in the magnetohydrodynamics problem without heat conductivity ⋮ The Rayleigh-Taylor instability of incompressible Euler equations in a horizontal slab domain ⋮ On instability and stability of three-dimensional gravity driven viscous flows in a bounded domain ⋮ Stability of the viscoelastic Rayleigh-Bénard problem with an upper free boundary ⋮ On inhibition of thermal convection instability by a magnetic field under zero resistivity ⋮ On the dynamical stability and instability of Rayleigh-Bénard problem in non-Newtonian fluids ⋮ Nonlinear thermal instability in compressible viscous flows without heat conductivity ⋮ Stability analysis for the incompressible Navier-Stokes equations with Navier boundary conditions ⋮ Well-posedness for compressible Rayleigh-Bénard convection ⋮ Nonlinear stability of the inviscid magnetic Bénard problem ⋮ On the spectral instability and bifurcation of the 2D-quasi-geostrophic potential vorticity equation with a generalized Kolmogorov forcing

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• On the Principle of Exchange of Stabilities in Rayleigh--Bénard Convection
• Instability of periodic BGK equilibria
• On the principle of exchange of stabilities
• On maintained convective motion in a fluid heated from below
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