Upper semicontinuity of uniform attractors for nonclassical diffusion equations

DOI10.1186/S13661-017-0816-7zbMath1369.37078OpenAlexW2623671529WikidataQ59525382 ScholiaQ59525382MaRDI QIDQ2362508

Yonghai Wang, Pengrui Li, Yu-ming Qin

Publication date: 10 July 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0816-7

zbMATH Keywords

upper semicontinuityattractornonautonomous systemviscous perturbation, reaction-diffusion system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Diffusion processes and stochastic analysis on manifolds (58J65) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (8)

Uniform attractors for nonclassical diffusion equations with perturbed parameter and memory ⋮ Upper semicontinuity of attractors for nonclassical diffusion equations with arbitrary polynomial growth ⋮ Exponential attractors for nonclassical diffusion equations with arbitrary polynomial growth nonlinearity ⋮ Attractors for a class of perturbed nonclassical diffusion equations with memory ⋮ Well-posedness and longtime dynamics for the finitely degenerate parabolic and pseudo-parabolic equations ⋮ Attractors for nonclassical diffusion equations with dynamic boundary conditions ⋮ Strong pullback attractors for a nonclassical diffusion equation ⋮ Continuous dependence on a parameter of exponential attractors for nonclassical diffusion equations

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