Existence of smooth global attractors for nonlinear viscoelastic equations with memory

DOI10.1007/s00028-014-0270-2zbMath1327.35040OpenAlexW2092327810MaRDI QIDQ748399

Monica Conti, Pelin G. Geredeli

Publication date: 20 October 2015

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

Full work available at URL: https://doi.org/10.1007/s00028-014-0270-2

zbMATH Keywords

nonlinear dampingnonlinear source terminternal frictional dampingviscoelastic plateEuler-Bernoulli plate equationhereditary memory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Integro-partial differential equations (45K05) Nonlinear elasticity (74B20) Plates (74K20)

Related Items (9)

Well-posedness and exponential stability for a plate equation with time-varying delay and past history ⋮ Global attractors of the extensible plate equations with nonlinear damping and memory ⋮ Long-time dynamics of a plate equation with memory and time delay ⋮ The global attractor for a suspension bridge with memory and partially hinged boundary conditions ⋮ Long-time dynamics for a nonlinear viscoelastic Kirchhoff plate equation ⋮ Long-time behavior for a class of semi-linear Viscoelastic Kirchhoff beams/plates ⋮ Long-time behavior of a class of viscoelastic plate equations ⋮ Asymptotic behaviour of a suspension bridge problem ⋮ Micro-inertia effects on existence of attractors for form II Mindlin's strain gradient viscoelastic plate

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