Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values
From MaRDI portal
Publication:6205953
DOI10.1016/s0167-2789(00)00179-2zbMath1076.35090MaRDI QIDQ6205953
James C. Robinson, Peter K. Friz
Publication date: 19 December 2000
Published in: Physica D (Search for Journal in Brave)
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Navier-Stokes equations (35Q30)
Related Items (10)
Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem ⋮ Extensivity of two-dimensional turbulence ⋮ Parametric smoothness and self-scaling of the statistical properties of a minimal climate model: what beyond the mean field theories? ⋮ Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations ⋮ Persistence time of solutions of the three-dimensional Navier-Stokes equations in Sobolev-Gevrey classes ⋮ Navier-Stokes equations on the \(\beta\)-plane: determining modes and nodes ⋮ Ladder estimates for micropolar fluid equations and regularity of global attractor ⋮ Stable and chaotic solutions of the complex Ginzburg-Landau equation with periodic boundary conditions ⋮ Gevrey class regularity for solutions of micropolar fluid equations ⋮ Local analyticity radii of solutions to the 3D Navier-Stokes equations with locally analytic forcing
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximate inertial manifolds for reaction-diffusion equations in high space dimension
- Gevrey class regularity for the solutions of the Navier-Stokes equations
- On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation
- Absolute continuity of operator-self-decomposable distributions on \(R^ n\)
- Asymptotic analysis of the Navier-Stokes equations
- Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
- On the dimension of the attractors in two-dimensional turbulence
- Partial differential equations. 4th ed
- Gevrey class regularity and approximate inertial manifolds for the Kuramoto-Sivashinsky equation
- Infinite-dimensional dynamical systems in mechanics and physics
- On the number of determining nodes for the 2D Navier-Stokes equations
- Embedology
- Space analyticity for the nonlinear heat equation in a bounded domain
- Global Gevrey regularity for the Bénard convection in a porous medium with zero Darcy-Prandtl number
- Analyticity for the Kuramoto-Sivashinsky equation
- Oscillations of solutions of the Kuramoto-Sivashinsky equation
- Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\)
- Gevrey regularity for nonlinear analytic parabolic equations on the sphere
- Exponential attractors and their relevance to fluid dynamics systems
- A global attracting set for the Kuramoto-Sivashinsky equation
- Determining nodes for the Kuramoto-Sivashinsky equation
- Smooth attractors have zero ``thickness
- Spatial analyticity on the global attractor for the Kuramoto-Sivashinsky equation
- A rigorous treatment of ‘experimental’ observations for the two–dimensional Navier–Stokes equations
- Determining nodes, finite difference schemes and inertial manifolds
- Determination of the Solutions of the Navier-Stokes Equations by a Set of Nodal Values
- Attractors representing turbulent flows
- Attractors for reaction-diffusion equations: existence and estimate of their dimension
- Low-dimensional behaviour in the complex Ginzburg-Landau equation
- Attractor dimension and small length scale estimates for the three-dimensional Navier - Stokes equations
- Time analyticity and gevrey regularity for solutions of a class of dissipative partial differential equations
- Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
- On the number of determining nodes for the Ginzburg-Landau equation
- Analyticity of the attractor and the number of determining nodes for a weakly damped driven nonlinear Schrodinger equation
- Regularity of solutions and the convergence of the galerkin method in the ginzburg-landau equation
- Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems
- Finite fractal dimension and Holder-Lipshitz parametrization
- Determining nodes for extended dissipative systems
- Editorial board
- Prevalence. An addendum to: “Prevalence: a translation-invariant ‘almost every’ on infinite-dimensional spaces” [Bull. Amer. Math. Soc. (N.S.) 27 (1992), no. 2, 217–238; MR1161274 (93k:28018)]
- Hausdorff length of level sets for solutions of the Ginzburg-Landau equation
- Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces
- Applied Analysis of the Navier-Stokes Equations
- Nodal parametrisation of analytic attractors
This page was built for publication: Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values
