Do inertial manifolds apply to turbulence?
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Publication:1263432
DOI10.1016/0167-2789(89)90124-3zbMath0687.76058OpenAlexW2074696133MaRDI QIDQ1263432
Publication date: 1989
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(89)90124-3
attractorsdissipative evolution equationsturbulent flowsinertial manifoldstwo-dimensional Navier-Stokes equationapproximate inertial manifolds
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Turbulence (76F99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Related Items (6)
Finite-dimensional behavior in dissipative partial differential equations ⋮ Regularity of the inertial manifolds for evolution equations in admissible spaces and finite-dimensional feedback controllers ⋮ Inertial manifolds for the 3D hyperviscous Navier–Stokes equation with L2 force ⋮ Inertial manifolds for the 3D modified-Leray-\( \alpha\) model ⋮ \textit{A priori} analysis of reduced description of dynamical systems using approximate inertial manifolds ⋮ Nonlinear transitions in mercury arc discharge oscillating in external magnetic field
Cites Work
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- Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations
- Construction of inertial manifolds by elliptic regularization
- Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension
- Advanced synergetics. Instability hierarchies of self-organizing systems and devices
- Inertial manifolds for nonlinear evolutionary equations
- On the dimension of the attractors in two-dimensional turbulence
- Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
- Infinite-dimensional dynamical systems in mechanics and physics
- Integral manifolds and inertial manifolds for dissipative partial differential equations
- Attractors of partial differential evolution equations and estimates of their dimension
- Attractors representing turbulent flows
- Determining modes and fractal dimension of turbulent flows
- Low-dimensional behaviour in the complex Ginzburg-Landau equation
- Modelling of the interaction of small and large eddies in two dimensional turbulent flows
- Inertial Manifolds for Reaction Diffusion Equations in Higher Space Dimensions
- Nonlinear Galerkin Methods
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