A dynamical system generated by the Navier-Stokes equations

DOI10.1007/BF01084684zbMath0336.35081OpenAlexW1981105721MaRDI QIDQ1230198

O. A. Ladyzhenskaya

Publication date: 1975

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01084684

Mathematics Subject Classification ID

Related Items (53)

Unnamed Item ⋮ Upper bound for the Hausdorff dimension of invariant sets of evolution variational inequalities ⋮ STOCHASTIC DYNAMICS OF A COUPLED ATMOSPHERE–OCEAN MODEL ⋮ Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D ⋮ Weak and strong attractors for the 3D Navier-Stokes system ⋮ Limit behavior and on the attractor for the equations of motion of Oldroyd fluids ⋮ Attractors for certain nonlinear problems of mathematical physics ⋮ Attractors of nonlinear evolution problems with dissipation ⋮ Attractors for nonautonomous 2D Navier-Stokes equations with less regular normal forces ⋮ On global attractors of the 3D Navier--Stokes equations ⋮ Dynamics for Three Dimensional Generalized Navier- Stokes Equations with Delay ⋮ On the convergence of the uniform attractor of 2D NS-\(\alpha \) model to the uniform attractor of 2D NS system ⋮ Asymptotic finite-dimensional approximations for a class of extensible elastic systems ⋮ Global attractors for the three-dimensional Navier-Stokes equations ⋮ Attractors and dynamical systems generated by initial-boundary problems for the equations of motion of viscoelastic fluids ⋮ Navier-Stokes equations with Navier boundary conditions for an oceanic model ⋮ Accelerating waveform relaxation methods with application to parallel semiconductor device simulation^∗ ⋮ Parameterizing the global attractor of the navier-stokes equations by nodal values ⋮ Unnamed Item ⋮ The \(\mathbb{H}^1 \)-compact global attractor for two-dimensional convective Brinkman-Forchheimer equations in unbounded domains ⋮ On the global attractor of 2D incompressible turbulence with random forcing ⋮ Optimal chattering controls for viscous flow ⋮ Strongly compact strong trajectory attractors for evolutionary systems and their applications ⋮ Dyadic models for fluid equations: a survey ⋮ Attractors. Then and now ⋮ Attractors for Nonautonomous Navier–Stokes System and Other Partial Differential Equations ⋮ Instability of two-phase flows: A lower bound on the dimension of the global attractor of the Cahn-Hilliard-Navier-Stokes system ⋮ Global behavior of the solutions of certain fourth-order nonlinear equations ⋮ Estimates for the fractal dimension and the number of determining modes for invariant sets of dynamical systems ⋮ Bifurcation analysis of a neutral delay differential equation modelling the torsional motion of a driven drill-string. ⋮ Long-time dynamics of Kirchhoff wave models with strong nonlinear damping ⋮ Attractors for Navier-Stokes equations in domains with finite measure ⋮ Dimensions of attractors for discretizations for Navier-Stokes equations ⋮ Determining finite volume elements for the 2D Navier-Stokes equations ⋮ Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations ⋮ Finite-dimensionality of bounded invariant sets for Navier-Stokes systems and other dissipative systems ⋮ Finite Dimensionality of the Attractor for a Semilinear Wave Equation with Nonlinear Boundary Dissipation ⋮ Vorticity dynamics and turbulence models for Large-Eddy Simulations ⋮ Dynamical system generated by the equations of motion of an Oldroyd fluid of order L ⋮ Dynamical system generated by the equations of motion of an Oldroyd fluid of order L ⋮ Determining Functionals for the Strongly Damped Nonlinear Wave Equation ⋮ ASYMPTOTIC COMPACTNESS OF STOCHASTIC COMPLEX GINZBURG–LANDAU EQUATION ON AN UNBOUNDED DOMAIN ⋮ Synchronization of low Reynolds number plane Couette turbulence ⋮ PROBABILISTIC DYNAMICS OF TWO-LAYER GEOPHYSICAL FLOWS ⋮ On a subclass of solutions of the 2D Navier-Stokes equations with constant energy and enstrophy ⋮ The finite-dimensional uniform attractors for the nonautonomous \(g\)-Navier-Stokes equations ⋮ UPPER SEMICONTINUITY OF GLOBAL ATTRACTORS FOR 2D NAVIER–STOKES EQUATIONS ⋮ On the embedding of the attractor generated by Navier-Stokes equations into finite dimensional spaces ⋮ Stability of Morse-Smale maps ⋮ Pullback attractors for weak solution to modified Kelvin-Voigt model ⋮ Asymptotic regulation for distributed parameter systems via zero dynamics inverse design ⋮ Attractors of Navier-Stokes systems and of parabolic equations, and estimates for their dimensions ⋮ Global attractors and robustness of the Boissonade system

Cites Work

• Asymptotic decay of solutions of differential inequalities
• Properties of solutions of ordinary differential equations in banach space
• A mathematical example displaying features of turbulence
• Unnamed Item
• Unnamed Item

This page was built for publication: A dynamical system generated by the Navier-Stokes equations