125 citations · 181 across the 22 of their papers we have counts for
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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 $$ \partial_{tt} u(t)-\big[1+k_t(0)\big]Δu(t) -\int_0^\infty k'_t(s)Δu(t-s) d s + f(u(t)) =…
A model of viscoelasticity with time-dependent memory kernels
Monica Conti, Valeria Danese, Claudio Giorgi +1
We consider the model equation arising in the theory of viscoelasticity Here, the main feature is that th…
Exponential attractors for abstract equations with memory and applications to viscoelasticity
Valeria Danese, Pelin G. Geredeli, Vittorino Pata
We consider an abstract equation with memory of the form $$\partial_t \boldsymbol{x}(t)+\int_{0}^\infty k(s) \boldsymbol{A}\boldsymbol{x}(t-s){\rm d} s+\boldsymbol{B}\boldsymbol{x}…
Totally dissipative dynamical processes and their uniform global attractors
Vladimir V. Chepyzhov, Monica Conti, Vittorino Pata
We discuss the existence of the global attractor for a family of processes acting on a metric space and depending on a symbol belonging to some other metric spac…
Attractors for processes on time-dependent spaces. Applications to wave equations
Monica Conti, Vittorino Pata, Roger Temam
For a process U(t,s) acting on a one-parameter family of normed spaces, we present a notion of time-dependent attractor based only on the minimality with respect to the pullback at…
Global Attractors for an Extensible Thermoelastic Beam System
C. Giorgi, M. G. Naso, V. Pata +1
This work is focused on the dissipative system describing the dynamics of an extensible thermoelastic beam, where the dissipation is entirely contributed by the second equation rul…