5 papers
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.…
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 $$ \partial_{tt} u(t)-\big[1+k_t(0)\big]Δu(t) -\int_0^\infty k'_t(s)Δu(t-s) d s + f(u(t)) =…
A model of viscoelasticity with time-dependent memory kernels
Monica Conti, Valeria Danese, Claudio Giorgi +1
We consider the model equation arising in the theory of viscoelasticity Here, the main feature is that th…
Stability analysis of abstract systems of Timoshenko type
Valeria Danese, Filippo Dell'Oro, Vittorino Pata
We consider an abstract system of Timoshenko type $$ \begin{cases} ρ_1{\ddot φ} + a A^{\frac12}(A^{\frac12}φ+ ψ) =0\\ ρ_2{\ddot ψ} + b A ψ+ a (A^{\frac12}φ+ ψ) - δA^γθ = 0\\ ρ_3{\d…
Exponential attractors for abstract equations with memory and applications to viscoelasticity
Valeria Danese, Pelin G. Geredeli, Vittorino Pata
We consider an abstract equation with memory of the form $$\partial_t \boldsymbol{x}(t)+\int_{0}^\infty k(s) \boldsymbol{A}\boldsymbol{x}(t-s){\rm d} s+\boldsymbol{B}\boldsymbol{x}…