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 $${\partial }_{tt}u-h_t(0)\Delta u-{\int }_0^{\infty }{h}_t^{\prime }(s)\Delta u(t-s)ds+f(u)=g.$$ Here, the main feature is that th…