Valeria Danese

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math.DS2016

Viscoelasticity with time-dependent memory kernels. Part II: asymptotic behavior of solutions

Monica Conti, Valeria Danese, Vittorino Pata

We continue the analysis on the model equation arising in the theory of viscoelasticity $$ \partial_{tt} u(t)-\big[1+k_t(0)\big]Δu(t) -\int_0^\infty k'_t(s)Δu(t-s) d s + f(u(t)) =…

math.DS2016

A model of viscoelasticity with time-dependent memory kernels

Monica Conti, Valeria Danese, Claudio Giorgi +1

We consider the model equation arising in the theory of viscoelasticity $\partial_{tt} u - h_{t} (0) Δ u - \int_{0}^{\infty} h_{t}^{'} (s) Δ u (t - s) d s + f (u) = g .$ Here, the main feature is that th…