Finite-dimensional asymptotic behavior for the Swift-Hohenberg model of convection
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Publication:3488903
DOI10.1016/0362-546X(90)90134-3zbMath0707.58019OpenAlexW2014532812MaRDI QIDQ3488903
Publication date: 1990
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(90)90134-3
global attractorKuramoto-Sivashinsky equationHausdorff dimensionfractal dimensionanalytic semigroupinertial manifold
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Asymptotic expansions of solutions to PDEs (35C20) Low-dimensional dynamical systems (37E99)
Related Items (9)
Local dissipativity and attractors for the Kuramoto-Sivashinsky equation in thin 2D domains ⋮ Dynamics of a nonlocal Kuramoto-Sivashinsky equation ⋮ Double diffusion maps and their latent harmonics for scientific computations in latent space ⋮ Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations ⋮ Asymptotic dynamical difference between the nonlocal and local Swift–Hohenberg models ⋮ Smoothness of inertial manifolds ⋮ Inertial manifolds and normal hyperbolicity ⋮ Approximation theories for inertial manifolds ⋮ TEMPORAL EVOLUTIONS AND STATIONARY WAVES FOR PERTURBED KDV EQUATION WITH NONLOCAL TERM
Cites Work
- Unnamed Item
- Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension
- Semigroups of linear operators and applications to partial differential equations
- Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
- Inertial manifolds for nonlinear evolutionary equations
- Geometric theory of semilinear parabolic equations
- Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
- Invariant manifolds
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