Bifurcation from rotationally invariant states

DOI10.1063/1.523871zbMath0401.47030OpenAlexW1987479200MaRDI QIDQ4185384

David H. Sattinger

Publication date: 1978

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.523871

zbMATH Keywords

GeophysicsElasticity TheoryVariational MethodsBifurcation in the Presence of the Rotation GroupCovariant Bifurcation Equations

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear elasticity (74B20) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

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Cites Work

• Group representation theory, bifurcation theory and pattern formation
• Bifurcation and stability for a class of shells
• Bifurcations in the presence of a symmetry group
• Patterns of convection in spherical shells
• Calculation of the Molien generating function for invariants of space groups
• Group Representation Theory and Branch Points of Nonlinear Functional Equations
• Axisymmetric buckling of hollow spheres and hemispheres

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