Hidden symmetries and pattern formation in Lapwood convection
From MaRDI portal
Publication:5689148
DOI10.1080/02681119608806223zbMath0869.35077OpenAlexW2062226959MaRDI QIDQ5689148
Roberts, Mark, Michael Impey, I. N. Stewart
Publication date: 25 August 1997
Published in: Dynamics and Stability of Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02681119608806223
normal formsLyapunov-Schmidt reductionsingularity theorylocal bifurcationLapwood convectionprenormal forms
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Bifurcations in context of PDEs (35B32)
Related Items (4)
Interacting convection modes in a saturated porous medium of nearly square planform: a special case ⋮ The interaction of convection modes in a box of a saturated porous medium ⋮ DEGENERATE BIFURCATIONS WITH Z2⊕Z2-SYMMETRY ⋮ Toric geometry and equivariant bifurcations.
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Boundary conditions and mode jumping in the buckling of a rectangular plate
- Symmetry and nodal properties in the global bifurcation analysis of quasi-linear elliptic equations
- Normal forms for driven surface waves: Boundary conditions, symmetry, and genericity
- Hidden symmetry of fully nonlinear boundary conditions in elliptic equations: Global bifurcation and nodal structure
- Bifurcations on hemispheres
- Bifurcations of stationary, standing and travelling waves in triply diffusive convection
- The effect of sidewall imperfections on pattern formation in Lapwood convection
- A numerical bifurcation study of natural convection in a tilted two-dimensional porous cavity
- Solutions and stability criteria of natural convective flow in an inclined porous layer
- Symmetry and Stability in Taylor-Couette Flow
- Coupled stationary bifurcations in non-flux boundary value problems
- Modal exchange mechanisms in Lapwood convection
- Hidden symmetries of parametrically forced waves
- D4+T2mode interactions and hidden rotational symmetry
- Mode Interactions With Symmetry
- Steady PDEs on generalized rectangles: a change of genericity in mode interactions
- Bifurcation Analysis of Cellular Interfaces in Unidirectional Solidification of a Dilute Binary Mixture
- Time-periodic convection in porous media: the evolution of Hopf bifurcations with aspect ratio
This page was built for publication: Hidden symmetries and pattern formation in Lapwood convection