Bifurcating attractors and Galerkin approximates

DOI10.1017/S0004972700013320zbMath0622.35006OpenAlexW2158424880MaRDI QIDQ3759233

John A. Dutton, Robert Wells

Publication date: 1987

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700013320

zbMATH Keywords

asymptotically stablesteady solutionNavier-Stokes dynamical systembifurcating attractorsBorsuk shapeGalerkin approximates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Navier-Stokes equations (35Q30) Theoretical approximation in context of PDEs (35A35) Bifurcations in context of PDEs (35B32)

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Semilinear evolution equations in Banach spaces
• The structure of Lorenz attractors
• On the Large Time Galerkin Approximation of the Navier–Stokes Equations
• Fundamental Theorems of Climate Theory—Some Proved, Some Conjectured
• Smoothing Derivatives of Functions and Applications

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