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Existence of smooth global attractors for nonlinear viscoelastic equations with memory

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Abstract

We consider the memory relaxation of an Euler–Bernoulli plate equation with nonlinear source term and internal frictional damping of arbitrary polynomial growth. The main focus is the existence of a smooth global attractor for the associated dynamical system.

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Correspondence to Monica Conti.

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Pelin G. Geredeli was partially supported by the Scientific Research Projects Coordination Unit of Hacettepe University, Ankara.

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Conti, M., Geredeli, P.G. Existence of smooth global attractors for nonlinear viscoelastic equations with memory. J. Evol. Equ. 15, 533–558 (2015). https://doi.org/10.1007/s00028-014-0270-2

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