On the number of determining nodes for the 2D Navier-Stokes equations
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Publication:1206829
DOI10.1016/0022-247X(92)90190-OzbMath0773.35050OpenAlexW2162475049MaRDI QIDQ1206829
Publication date: 1 April 1993
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(92)90190-o
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Cites Work
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- Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations
- On approximate inertial manifolds to the Navier-Stokes equations
- Large volume limit of the distribution of characteristic exponents in turbulence
- Gevrey class regularity for the solutions of the Navier-Stokes equations
- Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations
- On the smallest scale for the incompressible Navier-Stokes equations
- Asymptotic analysis of the Navier-Stokes equations
- On the dimension of the attractors in two-dimensional turbulence
- Determining nodes, finite difference schemes and inertial manifolds
- Attractors of partial differential evolution equations and estimates of their dimension
- Approximate inertial manifolds and effective viscosity in turbulent flows
- Determination of the Solutions of the Navier-Stokes Equations by a Set of Nodal Values
- Determining modes and fractal dimension of turbulent flows
- The dynamics of coherent structures in the wall region of a turbulent boundary layer
- Modelling of the interaction of small and large eddies in two dimensional turbulent flows
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- On the determination of minimal global attractors for the Navier-Stokes and other partial differential equations
- Equivalent Norms for Sobolev Spaces
