On pullback attractor for non-autonomous weakly dissipative wave equations

DOI10.1080/14689360802475480zbMath1165.37034OpenAlexW2003779709MaRDI QIDQ3617640

Xing-Jie Yan, Cheng-Kui Zhong

Publication date: 30 March 2009

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360802475480

zbMATH Keywords

measure of non-compactnessweakly dissipative wave equationspullback \(\mathcal D\)-attractor

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Wave equation (35L05)

Cites Work

• Kernel sections and uniform attractors of multi-valued semiprocesses
• Convex solutions of boundary value problem arising from Monge-Ampère equations
• Existence of global attractors for a nonlinear wave equation
• 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
• Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
• On the dimension of the attractor for the non-homogeneous Navier-Stokes equations in non-smooth domains
• Attractors for differential equations with variable delays

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