Minimality Properties of Set-Valued Processes and their Pullback Attractors
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Publication:5253467
DOI10.1137/140978995zbMath1316.35046arXiv1407.6135OpenAlexW2058458368MaRDI QIDQ5253467
Michele Coti Zelati, Piotr Kalita
Publication date: 26 May 2015
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.6135
Attractors (35B41) PDEs with multivalued right-hand sides (35R70) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Topological dynamics of nonautonomous systems (37B55)
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Cites Work
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- Pullback attractors for generalized evolutionary systems
- Pullback attractors for the non-autonomous 2D Navier-Stokes equations for minimally regular forcing
- Long-time behaviour of solutions for autonomous evolution hemivariational inequality with multidimensional ``reaction-displacement law
- A minimal approach to the theory of global attractors
- Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
- Attractors for infinite-dimensional non-autonomous dynamical systems
- Uniform global attractors for the nonautonomous 3D Navier-Stokes equations
- Totally dissipative dynamical processes and their uniform global attractors
- Regularity of weak solutions and their attractors for a parabolic feedback control problem
- Degenerate pullback attractors for the 3D Navier-Stokes equations
- Asymptotic behavior of the non-autonomous 3D Navier-Stokes problem with coercive force
- Evolution inclusions and variation inequalities for earth data processing. III. Long-time behavior of evolution inclusions solutions in earth data analysis.
- Pullback attractors for a class of extremal solutions of the 3D Navier-Stokes system
- Pullback attractors for non-autonomous 2D-Navier--Stokes equations in some unbounded domains
- Global attractor for a class of doubly nonlinear abstract evolution equations
- Asymptotic regularity conditions for the strong convergence towards weak limit sets and weak attractors of the 3D Navier-Stokes equations
- Finite fractal dimension of pullback attractors for non-autonomous 2D Navier--Stokes equations in some unbounded domains
- On global attractors of the 3D Navier--Stokes equations
- Pullback attractors and statistical solutions for 2-D Navier-Stokes equations
- Global attractor for a non-autonomous integro-differential equation in materials with memory
- On pullback attractors in \(L^p\) for nonautonomous reaction-diffusion equations
- Addendum to ``On attractors of multivalued semiflows and differential inclusions [Set-valued Anal. 6, No.\,1, 83--111 (1998; Zbl 0915.58063)]
- Non-autonomous attractors for integro-differential evolution equations
- The existence and the structure of uniform global attractors for nonautonomous reaction-diffusion systems without uniqueness
- Global attractors of evolutionary systems
- On the relation between two different concepts of pullback attractors for non-autonomous dynamical systems
- Asymptotic behaviour of nonautonomous difference inclusions
- On attractors of multivalued semi-flows and differential inclusions
- Infinite-dimensional dynamical systems in mechanics and physics.
- Random attractors
- Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
- Global attractors for damped semilinear wave equations.
- The existence of a global attractor for the forced critical surface quasi-geostrophic equation in \(L^2\)
- Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
- Attractors of non-autonomous dynamical systems and their dimension
- Global attractors for the three-dimensional Navier-Stokes equations
- Multivalued attractors and their approximation: applications to the Navier-Stokes equations
- On the theory of global attractors and Lyapunov functionals
- Remarks on the approximation of the Navier-Stokes equations via the implicit Euler scheme
- Pullback attractors for 2D-Navier-Stokes equations with delays in continuous and sub-linear operators
- Attractors for processes on time-dependent spaces. Applications to wave equations
- Global attractors for multivalued semiflows with weak continuity properties
- Attractors for gradient flows of nonconvex functionals and applications
- A result on the existence of global attractors for semigroups of closed operators
- Pullback attractors for asymptotically compact non-autonomous dynamical systems
- Existence of pullback attractors for pullback asymptotically compact processes
- RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES
- Kernel sections of multi-valued processes with application to the nonlinear reaction-diffusion equations in unbounded domains
- On parabolic hemivariational inequalities and applications
- Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
- FINITE DIMENSIONALITY OF ATTRACTORS FOR NON-AUTONOMOUS DYNAMICAL SYSTEMS GIVEN BY PARTIAL DIFFERENTIAL EQUATIONS
- Flattening, squeezing and the existence of random attractors
- Set-valued analysis
- On global attractors of multivalued semiprocesses and nonautonomous evolution inclusions
- Dynamics of evolutionary equations