Stability of cellular convection

DOI10.1007/BF00280408zbMath0635.76036MaRDI QIDQ1097787

George H. Knightly, D. Sather

Publication date: 1987

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

stabilityfinite-dimensional reductionselection principleBoussinesq-type partial differential equationscellular Bénard-type convection problemgeneralized dissipationtemperature dependent material

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Free convection (76R10) Bifurcations in context of PDEs (35B32)

Related Items (1)

Primary and secondary steady flows of the Taylor problem

Cites Work

• Unnamed Item
• Group representation theory, bifurcation theory and pattern formation
• A selection principle for Bénard-type convection
• Symmetries and pattern selection in Rayleigh-Bénard convection
• Stable subcritical solutions for a class of variational problems
• Existence of convective solutions of the generalized Benard problem which are analytic in their norm
• Stability and bifurcation in fluid dynamics
• Bifurcation on the hexagonal lattice and the planar Bénard problem
• Bifurcation and symmetry breaking in applied mathematics
• Bifurcation in Nonlinear Hydrodynamic Stability
• On the stability of steady finite amplitude convection
• The stability of finite amplitude cellular convection and its relation to an extremum principle

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