Lipschitz deviation and embeddings of global attractors

DOI10.1088/0951-7715/23/7/009zbMath1213.37112OpenAlexW2006516119MaRDI QIDQ3577805

Eleonora Pinto De Moura, James C. Robinson

Publication date: 23 July 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/23/7/009

zbMATH Keywords

attractorsnonlinear evolution equationsStokes and Navier-Stokes equationsHilbert and pre-Hilbert spacesconformal densities and Hausdorff dimensiongeometry and topology (including spaces with semidefinite inner product)initial value problems for nonlinear higher-order PDEinternal manifolds

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Attractors (35B41) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Navier-Stokes equations (35Q30) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Initial value problems for nonlinear higher-order PDEs (35G25) Dimension theory in general topology (54F45) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items (6)

Counterexamples to regularity of Mañé projections in the theory of attractors ⋮ Observing Lyapunov exponents of infinite-dimensional dynamical systems ⋮ Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations ⋮ Bi-Lipschitz Mané projectors and finite-dimensional reduction for complex Ginzburg–Landau equation ⋮ Almost bi-Lipschitz embeddings and almost homogeneous sets ⋮ Kwak transform and inertial manifolds revisited

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