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arXiv · 1309.4595

Global attractors for nonlinear viscoelastic equations with memory

Monica Conti·Elsa M. Marchini·Vittorino Pata
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Abstract

We study the asymptotic properties of the semigroup S(t) arising from a nonlinear viscoelastic equation with hereditary memory on a bounded three-dimensional domain written in the past history framework of Dafermos. We establish the existence of the global attractor of optimal regularity for S(t) for a wide class of nonlinearities as well as within the most general condition on the memory kernel.

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Monica Conti, Elsa M. Marchini, Vittorino Pata. 2013-09-18. Global attractors for nonlinear viscoelastic equations with memory. https://arxiv.org/abs/1309.4595

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