Pullback attractors of nonautonomous nonclassical diffusion equations with nonlocal diffusion

DOI10.1007/s00033-018-1005-yzbMath1403.35057OpenAlexW2886585729MaRDI QIDQ1990747

Xiaoxiao Zheng, Xiaoming Peng, Yadong Shang

Publication date: 25 October 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-018-1005-y

zbMATH Keywords

energy methodnonlocal diffusion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear parabolic equations (35K55)

Related Items (8)

Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations ⋮ Dynamics of fractional nonclassical diffusion equations with delay driven by additive noise on \(\mathbb{R}^n\) ⋮ Existence and regularity of pullback attractors for a non-autonomous diffusion equation with delay and nonlocal diffusion in time-dependent spaces ⋮ Long-time dynamics of fractional nonclassical diffusion equations with nonlinear colored noise and delay on unbounded domains ⋮ On an initial and final value problem for fractional nonclassical diffusion equations of Kirchhoff type ⋮ Asymptotic behavior of fractional nonclassical diffusion equations driven by nonlinear colored noise on $\mathbb{R}^N$ ⋮ Existence of attractors for stochastic diffusion equations with fractional damping and time-varying delay ⋮ Existence and characterization of attractors for a nonlocal reaction-diffusion equation with an energy functional

Cites Work

• Robustness of nonautonomous attractors for a family of nonlocal reaction-diffusion equations without uniqueness
• Nonlocal beam theory for nonlinear vibrations of embedded multiwalled carbon nanotubes in thermal environment
• Nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient
• Pullback attractors in \(V\) for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour
• Pullback attractors for non-autonomous 2D-Navier--Stokes equations in some unbounded domains
• On the dynamics of a class of nonclassical parabolic equations
• Numerical solution of a nonlocal problem arising in plasma physics
• Pullback attractors for a class of non-autonomous nonclassical diffusion equations
• On the relation between two different concepts of pullback attractors for non-autonomous dynamical systems
• On the asymptotic behaviour of some nonlocal problems
• On a class of problems involving a nonlocal operator.
• On some model diffusion problems with a nonlocal lower order term
• Attractors for a nonclassical diffusion equation
• Rates of decay of a nonlocal beam equation
• Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms
• Existence of solutions for a nonlocal problem arising in plasma physics
• Pullback attractors for asymptotically compact non-autonomous dynamical systems
• Remarks on a nonlocal problem involving the Dirichlet energy
• Global attractors for a nonclassical diffusion equation
• Pullback attractors for three-dimensional non-autonomous Navier–Stokes–Voigt equations
• Asymptotic behaviour for a diffusion equation governed by nonlocal interactions.
• Asymptotic behaviour of some nonlocal diffusion problems
• MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
• The global attractor for the 2D Navier-Stokes flow on some unbounded domains
• On a nonlocal elliptic equation with decreasing nonlinearity arising in plasma physics and heat conduction
• Some remarks on non local elliptic and parabolic problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Pullback attractors of nonautonomous nonclassical diffusion equations with nonlocal diffusion