3 citations · 9 across the 9 of their papers we have counts for
5 papers · 1 filter
Averaging of equations of viscoelasticity with singularly oscillating external forces
Vladimir V. Chepyzhov, Monica Conti, Vittorino Pata
Given , we consider for the nonautonomous viscoelastic equation with a singularly oscillating external force $$ \partial_{tt} u-κ(0)Δu - \int_0^\in…
Counting curve types
Tarik Aougab, Juan Souto
Let be a closed orientable hyperbolic surface, and let denote the number of mapping class group orbits of curves on with at most self-intersections.…
A quantitative Riemann-Lebesgue lemma with application to equations with memory
Filippo Dell'Oro, Enrico Laeng, Vittorino Pata
An elementary proof of a quantitative version of the Riemann-Lebesgue lemma for functions supported on the half line is given. Applications to differential models with memory are d…
Viscoelasticity with time-dependent memory kernels. Part II: asymptotic behavior of solutions
Monica Conti, Valeria Danese, Vittorino Pata
We continue the analysis on the model equation arising in the theory of viscoelasticity $$ \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)) =…
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 Here, the main feature is that th…