Non-autonomous nonlocal partial differential equations with delay and memory

DOI10.1016/j.jde.2020.07.037zbMath1451.35072OpenAlexW3089145827MaRDI QIDQ2208450

Zhengce Zhang, Jiaohui Xu, Tomás Caraballo Garrido

Publication date: 3 November 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/handle//11441/104537

zbMATH Keywords

Galerkin methodstationary solutionspullback attractorsbounded and unbounded delaysenergy estimations

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for second-order parabolic equations (35K20) Partial functional-differential equations (35R10) Semilinear parabolic equations (35K58)

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Cites Work

• Unnamed Item
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• Nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient
• Pullback attractors for a two-dimensional Navier-Stokes model in an infinite delay case
• Attractors for 2D-Navier-Stokes models with delays
• Autonomous and non-autonomous attractors for differential equations with delays
• Local vs. non-local interactions in population dynamics
• Global attractor for a non-autonomous integro-differential equation in materials with memory
• Asymptotic behaviour of nonlocal reaction-diffusion equations
• On the relation between two different concepts of pullback attractors for non-autonomous dynamical systems
• Theory of functional differential equations. 2nd ed
• Asymptotic behavior of a semilinear problem in heat conduction with memory
• Random attractors
• The existence and asymptotic behavior of solutions to fractional stochastic evolution equations with infinite delay
• Stability results for 2D Navier-Stokes equations with unbounded delay
• Single-point blowup for nonlocal parabolic problems
• The impact of time delay in a tumor model
• Nonlocal diffusion equations with dynamical boundary conditions
• Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms
• Remarks on a nonlocal problem involving the Dirichlet energy
• Attractors for differential equations with unbounded delays
• Explosive solutions of a stochastic non-local reaction-diffusion equation arising in shear band formation
• PULLBACK ATTRACTORS FOR A NONAUTONOMOUS INTEGRO-DIFFERENTIAL EQUATION WITH MEMORY IN SOME UNBOUNDED DOMAINS
• MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
• On a class of nonlocal nonlinear elliptic problems