Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic

DOI10.3934/dcdsb.2017108zbMath1366.35233OpenAlexW2600248172MaRDI QIDQ520935

Felipe Rivero, A. M. Márquez-Durán, Tomás Caraballo Garrido

Publication date: 6 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017108

zbMATH Keywords

delay equationpullback attractornonclassical diffusion equationevolution processnonautonomous problem

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear evolution equations (47J35) Topological dynamics of nonautonomous systems (37B55) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (16)

Upper semicontinuity of pullback attractors for nonclassical diffusion equations with delay ⋮ On a pseudo-parabolic equations with a non-local term of the Kirchhoff type with random Gaussian white noise ⋮ Global well-posedness for fractional Sobolev-Galpern type equations ⋮ Stochastic pseudo-parabolic equations with fractional derivative and fractional Brownian motion ⋮ Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise ⋮ Dynamic of the nonclassical diffusion equation with memory ⋮ A Nonclassical and Nonautonomous Diffusion Equation Containing Infinite Delays ⋮ Unnamed Item ⋮ Pullback attractors in the weighted space for multi-valued process generated by the non-autonomous nonclassical diffusion equations with unbounded delays without uniqueness of solutions ⋮ On a fractional Rayleigh–Stokes equation driven by fractional Brownian motion ⋮ On initial and terminal value problems for fractional nonclassical diffusion equations ⋮ On terminal value problems for bi-parabolic equations driven by Wiener process and fractional Brownian motions ⋮ Attractors for nonclassical diffusion equations with dynamic boundary conditions ⋮ Attractors for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on unbounded domain ⋮ Strong pullback attractors for a nonclassical diffusion equation ⋮ On a stochastic nonclassical diffusion equation with standard and fractional Brownian motion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay
• Pullback attractors for a two-dimensional Navier-Stokes model in an infinite delay case
• On the dynamics of a class of nonclassical parabolic equations
• Non-autonomous and random attractors for delay random semilinear equations without uniqueness
• Pullback attractors for a class of non-autonomous nonclassical diffusion equations
• On the problem of diffusion in solids
• Functional differential equations with infinite delay
• On attractors of multivalued semi-flows and differential inclusions
• Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
• Global attractors in \(H^1(\mathbb R^N)\) for nonclassical diffusion equations
• Time dependent perturbation in a non-autonomous non-classical parabolic equation
• On a theory of heat conduction involving two temperature
• Global attractors for a nonclassical diffusion equation
• Existence of pullback attractors for pullback asymptotically compact processes
• Well-Posedness and Asymptotic Behavior of a Nonclassical Nonautonomous Diffusion Equation with Delay
• Pullback attractors for a nonautonomous nonclassical diffusion equation with variable delay
• A Nonclassical and Nonautonomous Diffusion Equation Containing Infinite Delays
• RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES
• Existence and uniqueness in nonclassical diffusion
• Quasilinear Evolution Equations in Nonclassical Diffusion
• An integrable shallow water equation with peaked solitons

This page was built for publication: Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic