Attractors for Nonautonomous Navier–Stokes System and Other Partial Differential Equations
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Publication:3514580
DOI10.1007/978-0-387-75217-4_4zbMath1141.76018OpenAlexW124849180MaRDI QIDQ3514580
Mark I. Vishik, Vladimir V. Chepyzhov
Publication date: 21 July 2008
Published in: Instability in Models Connected with Fluid Flows I (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-0-387-75217-4_4
Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (5)
Recurrent solutions of the Korteweg-de Vries equation with boundary force ⋮ Recurrent solutions of the derivative Ginzburg–Landau equation with boundary forces ⋮ Squeezing and finite dimensionality of cocycle attractors for 2D stochastic Navier-Stokes equation with non-autonomous forcing ⋮ Averaging principle for multiscale nonautonomous random 2D Navier-Stokes system ⋮ Recurrent solutions of the Schrödinger-KdV system with boundary forces
Cites Work
- Exponential attractors for a nonlinear reaction-diffusion system in
- Approximation of trajectories lying on a global attractor of a hyperbolic equation with exterior force rapidly oscillating in time
- Minimal compact global attractor for a damped semilinear wave equation
- Attractors for Navier-Stokes equations in domains with finite measure
- Dissipative periodic processes
- Non-autonomous Ginzburg-Landau equation and its attractors
- Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems
- A note on the fractal dimension of attractors of dissipative dynamical systems
- Dynamics of evolutionary equations
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniform finite-parameter asymptotics of solutions of nonlinear evolutionary equations
- On the Schrödinger equation and the eigenvalue problem
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Integral manifolds and attractors with exponential rate for nonautonomous hyperbolic equations with dissipation
- Attractors for nonautonomous 2D Navier-Stokes equations with less regular normal forces
- Attractors of dissipative hyperbolic equations with singularly oscillating external forces
- On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation
- Regular attractors of semigroups and evolution equations
- Attractors for damped nonlinear hyperbolic equations
- Dimension of the attractors associated to the Ginzburg-Landau partial differential equation
- On the dimension of the attractors in two-dimensional turbulence
- Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
- Geometric theory of semilinear parabolic equations
- Entropy and the Hausdorff dimension for infinite-dimensional dynamical systems
- Averaging in infinite dimensions
- Finite-dimensional behaviour of a nonautonomous partial differential equation: Forced oscillations of an extensible beam
- Valeurs propres d'opérateurs définis par la restriction de systèmes variationnels à des sous-espaces
- A dynamical system generated by the Navier-Stokes equations
- Nonautonomous evolution equations and their attractors
- A sharp lower bound for the Hausdorff dimension of the global attractors of the 2D Navier-Stokes equations
- Attractors of nonautonomous dynamical systems and an estimation of their dimension
- Weak and strong solutions of the complex Ginzburg-Landau equation
- Periodic processes and non-autonomous evolution equations with time- periodic terms
- Infinite-dimensional dynamical systems in mechanics and physics.
- Trajectory attractors for reaction-diffusion systems
- Trajectory attractors for the 2D Navier-Stokes system and some generalizations
- Evolution equations and their trajectory attractors
- On the damped semilinear wave equation with critical exponent
- On the fractal dimension of invariant sets: Applications to Navier-Stokes equations.
- Exponential attractors for nonautonomous first-order evolution equations
- Attractors for families of processes in weak topologies of Banach spaces
- Estimate for the entropy dimension of the maximal attractor for \(k\)-contracting systems in an infinite-dimensional space.
- On non-autonomous sine-Gordon type equations with a simple global attractor and some averaging
- Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homo\-genization.
- Regularity and asymptotic behavior of solutions of nonautonomous differential equations
- Attractors of non-autonomous dynamical systems and their dimension
- Attractors of periodic processes and estimates of their dimension
- Optimal bounds on the dimension of the attractor of the Navier-Stokes equations
- Bounds for the solutions of the complex Ginzburg-Landau equation in terms of the dispersion parameters
- Traveling waves of dissipative nonautonomous hyperbolic equations in a strip
- Finite-dimensionality of bounded invariant sets for Navier-Stokes systems and other dissipative systems
- Kolmogorov \(\varepsilon\)-entropy in the problems on global attractors for evolution equations of mathematical physics
- Almost periodic differential equations as dynamical systems with applications to the existence of a.p. solutions
- Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces
- Local and global Lyapunov exponents
- On behavior as \(t\to +\infty\) of solutions of some nonautonomous equations
- Averaging of trajectory attractors of evolution equations with rapidly oscillating terms
- Unstable invariant sets of semigroups of non-linear operators and their perturbations
- Attractors of partial differential evolution equations and estimates of their dimension
- Attractors representing turbulent flows
- Global lyapunov exponents, kaplan-yorke formulas and the dimension of the attractors for 2D navier-stokes equations
- MAXIMAL ATTRACTORS OF SEMIGROUPS CORRESPONDING TO EVOLUTION DIFFERENTIAL EQUATIONS
- Low-dimensional behaviour in the complex Ginzburg-Landau equation
- Attractors of asymptotically compact processes and applications to nonlinear partial differential equations
- Attractors for nonautonomous nonhomogeneous Navier - Stokes equations
- The complex Ginzburg - Landau equation on large and unbounded domains: sharper bounds and attractors
- A damped hyerbolic equation with critical exponent
- Mathematical Problems of Statistical Hydromechanics
- Semiflows associated with compact and uniform processes
- Plane Wave Solutions to Reaction-Diffusion Equations
- On the determination of minimal global attractors for the Navier-Stokes and other partial differential equations
- Exponential attractors for a class of evolution equations by a decomposition method
- Lieb-Thirring Inequalities on the N -Sphere and in the Plane, and Some Applications
- Twistor spaces and harmonic maps
- Non-autonomous evolution equations with almost periodic symbols
- Averaging principle for dissipative dynamical systems with rapidly oscillating right-hand sides
- The trajectory attractor of a non-linear elliptic system in a cylindrical domain
- Maximum local Lyapunov dimension bounds the box dimension of chaotic attractors
- Kolmogorov $ \varepsilon$-entropy estimates for the uniform attractors of non-autonomous reaction-diffusion systems
- Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems
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