Pullback attractors in for non-autonomous nonclassical diffusion equations

DOI10.1080/14689367.2013.854317zbMath1284.35084OpenAlexW2051262982MaRDI QIDQ5406329

Fang-hong Zhang, Yong-feng Liu

Publication date: 1 April 2014

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

Full work available at URL: https://doi.org/10.1080/14689367.2013.854317

zbMATH Keywords

unbounded domainpullback attractorsnonclassical diffusion equations

Mathematics Subject Classification ID

Attractors (35B41) Reaction-diffusion equations (35K57)

Related Items (15)

Attractors for the nonclassical reaction-diffusion equations on time-dependent spaces ⋮ Uniform attractors of nonclassical diffusion equations lacking instantaneous damping on \(\mathbb{R}^N\) with memory ⋮ Bi-space global attractors for a class of nonclassical parabolic equations with arbitrary polynomial growth in unbounded domain ⋮ Uniform attractors for multi-valued process generated by non-autonomous nonclassical diffusion equations with delay in unbounded domain without uniqueness of solutions ⋮ Existence of random attractors for 2D-stochastic nonclassical diffusion equations on unbounded domains ⋮ Dynamics of fractional nonclassical diffusion equations with delay driven by additive noise on \(\mathbb{R}^n\) ⋮ The nonclassical diffusion equations with time-dependent memory kernels and a new class of nonlinearities ⋮ Existence and regularity of time-dependent global attractors for the nonclassical reaction-diffusion equations with lower forcing term ⋮ Global attractors for nonclassical diffusion equations with hereditary memory and a new class of nonlinearities ⋮ Existence and long-time behavior of solutions to a class of nonclassical diffusion equations with infinite delays ⋮ Unnamed Item ⋮ Asymptotic behavior of fractional nonclassical diffusion equations driven by nonlinear colored noise on $\mathbb{R}^N$ ⋮ Time-dependent global attractor for a class of nonclassical parabolic equations ⋮ Time-dependent global attractor for the nonclassical diffusion equations ⋮ Nonclassical diffusion equations on \(\mathbb{R}^N\) with singularly oscillating external forces

Cites Work

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• Attractors for reaction-diffusion equations in unbounded domains
• Attractors for a nonclassical diffusion equation
• Pullback attractors for the norm-to-weak continuous process and application to the nonautonomous reaction-diffusion equations
• Pullback attractors for asymptotically compact non-autonomous dynamical systems
• Pullback attractors for nonautonomous reaction-diffusion equations in unbounded domains
• Global attractors for a nonclassical diffusion equation
• Quasilinear Evolution Equations in Nonclassical Diffusion
• PULLBACK AND FORWARD ATTRACTORS FOR A DAMPED WAVE EQUATION WITH DELAYS

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