Pattern selection for the oscillatory onset in thermosolutal convection

DOI10.1063/1.858573zbMath0777.76035OpenAlexW2026478528MaRDI QIDQ4202567

Yuriko Yamamuro Renardy

Publication date: 8 December 1993

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7ef17d68244adb735c1befed409b7a251d28ddeb

zbMATH Keywords

double diffusionhexagonal lattice11 bifurcating solutionsparallel horizontal wallssalty waterstanding regular trianglesstanding rollstime-periodic instability

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30)

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Hopf bifurcation on a simple cubic lattice ⋮ Pattern selection in three-dimensional magnetoconvection ⋮ Bifurcations of stationary, standing and travelling waves in triply diffusive convection ⋮ Linear stability analysis of salt fingers with surface evaporation or warming ⋮ Unnamed Item ⋮ Thermosolutal convection at infinite Prandtl number: initial layer and infinite Prandtl number limit ⋮ Thermosolutal convection at infinite prandtl number with or without rotation: Bifurcation and stability in physical space

Cites Work

• Bifurcating solutions at the onset of convection in the Bénard problem for two fluids
• Pattern selection in the Bénard problem for a viscoelastic fluid
• Bifurcations in Doubly-Diffusive Systems III. Interaction of Equilibrium and Time Periodic Solutions
• Hopf bifurcation on a square lattice
• Nonlinear double-diffusive convection
• Accurate solution of the Orr–Sommerfeld stability equation
• Hopf bifurcation in the presence of symmetry