COMPARISON BETWEEN TRAJECTORY AND GLOBAL ATTRACTORS FOR EVOLUTION SYSTEMS WITHOUT UNIQUENESS OF SOLUTIONS
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Publication:3065781
DOI10.1142/S0218127410027313zbMath1202.37023MaRDI QIDQ3065781
Valero, José, Oleksiy V. Kapustyan
Publication date: 6 January 2011
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
global attractortrajectory attractormultivalued dynamical systemevolution equation without uniqueness
Semigroups of nonlinear operators (47H20) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Reaction-diffusion equations (35K57) Abstract hyperbolic equations (35L90)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Autonomous and non-autonomous attractors for differential equations with delays
- Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, periodic problems
- On global attractors of the 3D Navier--Stokes equations
- On the Kneser property for the complex Ginzburg-Landau equation and the Lotka-Volterra system with diffusion
- Solutions of evolution inclusions. I
- On solutions of evolution inclusions. II
- On attractors of multivalued semi-flows and differential inclusions
- Chemically reacting fluid flows: Weak solutions and global attractors
- Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force
- On the multiplicity of equilibrium solutions to a nonlinear diffusion equation on a manifold arising in climatology
- Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
- Evolution equations and their trajectory attractors
- A comparison between two theories for multi-valued semiflows and their asymptotic behaviour
- Global attractors for damped semilinear wave equations.
- Large time behavior via the method of \(\ell\)-trajectories
- The shift-semiflow of a multi-valued evolution equation from climate modeling.
- Global attractors for the three-dimensional Navier-Stokes equations
- Weak and strong attractors for the 3D Navier-Stokes system
- Attractors for gradient flows of nonconvex functionals and applications
- Global attractors for small samples and germs of 3D Navier-Stokes equations
- Theory of a general class of dissipative processes
- Attractors of Multivalued Dynamical Processes Generated by Phase-Field Equations
- ON THE HYPERBOLIC RELAXATION OF THE CAHN–HILLIARD EQUATION IN 3D: APPROXIMATION AND LONG TIME BEHAVIOUR
- Attractors of multivalued semiflows generated by differential inclusions and their approximations
- Attractors of parabolic equations without uniqueness
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