The butterfly singularity in double-diffusive convection

DOI10.1515/JNET.1987.12.4.313zbMath0633.76047OpenAlexW2013484720MaRDI QIDQ1096486

M. Neveling, Dieter Armbruster

Publication date: 1987

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnet.1987.12.4.313

zbMATH Keywords

Lyapunov-Schmidt reductionBoussinesq equationsstationary solutionsnon-degeneracy conditionsbutterfly singularityimperfect bifurcation theoryNon-Boussinesq-effectsnon-flux-boundary conditionsnon-rigorous five-mode expansiontricritical point of double-diffusive convectiontwo-dimensional, two-component Bénard problem

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Bifurcations in context of PDEs (35B32)

Cites Work

• The validity of the Boussinesq approximation for liquids and gases
• An asymptotic model of two-dimensional convection in the limit of low Prandtl number
• Bénard convection in a finite box: secondary and imperfect bifurcations
• Convection with heat flux prescribed on the boundaries of the system. I. The effect of temperature dependence of material properties

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