Quasi‐stability and upper semicontinuity for coupled parabolic equations with memory

DOI10.1111/sapm.12331zbMath1459.37065OpenAlexW3046672844MaRDI QIDQ5136953

Moncef Aouadi

Publication date: 30 November 2020

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12331

zbMATH Keywords

upper semicontinuitythermodiffusionquasi-stabilityGurtin-Pipkin law

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

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Upper semicontinuity of attractors for nonclassical diffusion equations with arbitrary polynomial growth ⋮ Quasi-stability and upper semicontinuity for coupled wave equations with fractional damping ⋮ Micro-inertia effects on existence of attractors for form II Mindlin's strain gradient viscoelastic plate ⋮ Continuity of global attractors for a suspension bridge equation

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