Selection mechanisms for pattern formation

DOI10.1007/BF00250850zbMath0431.76040MaRDI QIDQ1138441

David H. Sattinger

Publication date: 1977

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

zbMATH Keywords

nonlinear equationsgroup invariancebifurcation of solutionsBenard problemLyapunov-Schmidt-equations

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear elliptic equations (35J60)

Related Items (2)

A mathematical theory of visual hallucination patterns ⋮ Bifurcation and symmetry breaking in applied mathematics

Cites Work

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• Group representation theory, bifurcation theory and pattern formation
• Existence and nonuniqueness of rectangular solutions of the Benard problem
• Stability of bifurcating solutions by Leray-Schauder degree
• Topics in stability and bifurcation theory
• A priori bounds for some bifurcation problems in fluid dynamics
• Stability and bifurcation in fluid dynamics
• Group Representation Theory and Branch Points of Nonlinear Functional Equations
• The stability of finite amplitude cellular convection and its relation to an extremum principle

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