Necessary and sufficient conditions for the existence of time-dependent global attractor and application

DOI10.1063/1.4978329zbMath1362.37153OpenAlexW2593437332MaRDI QIDQ2974645

Cuncai Liu, Fengjuan Meng

Publication date: 10 April 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4978329

zbMATH Keywords

damped equationtime-dependent global attractor

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (11)

Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations ⋮ Dynamic of the nonclassical diffusion equation with memory ⋮ Statistical solutions and Liouville theorem for the second order lattice systems with varying coefficients ⋮ Time-dependent attractor of the plate equation with nonlinear damping and linear memory ⋮ Attractor for a model of extensible beam with damping on time-dependent space ⋮ Time-dependent asymptotic behavior of the solution for plate equations with linear memory ⋮ Time-dependent global attractor for extensible Berger equation ⋮ Time-dependent asymptotic behavior of the solution for wave equations with linear memory ⋮ Time-dependent attractor for plate equations on \(\mathbb{R}^n\) ⋮ Attractor of the Kirchhoff type plate equation with memory and nonlinear damping on the whole time-dependent space ⋮ Time-dependent attractor of wave equations with nonlinear damping and linear memory

Cites Work

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• A minimal approach to the theory of global attractors
• Strong global attractors for 3D wave equations with weakly damping
• Necessary and sufficient conditions for the existence of exponential attractors for semigroups, and applications
• Time-dependent attractor for the oscillon equation
• Attractors for wave equations with nonlinear damping on time-dependent space
• Attractors for random dynamical systems
• Infinite-dimensional dynamical systems in mechanics and physics.
• Random attractors
• On the time-dependent Cattaneo law in space dimension one
• Trajectory and global attractors of the three-dimensional Navier-Stokes system.
• Attractors of non-autonomous dynamical systems and their dimension
• Pullback \(\mathcal D\)-attractors for nonautonomous sine-Gordon equations
• Attractors for processes on time-dependent spaces. Applications to wave equations
• The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations
• Pullback attractors for asymptotically compact non-autonomous dynamical systems
• Asymptotic structure of the attractor for processes on time-dependent spaces
• Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces
• The 3-dimensional oscillon equation
• Necessary and sufficient conditions for the existence of global attractors for semigroups and applications

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