32 citations · 45 across the 14 of their papers we have counts for
19 papers
Unified growth rates for operator semigroups under generalized Kreiss conditions
Filippo Dell'Oro, Alberto Farina, Vittorino Pata
In this note we establish a unified growth rate for the operator norm of -semigroups on Hilbert spaces whose generators satisfy the generalized Kreiss resolvent condition. Our…
Optimal energy decay rates for Klein-Gordon equations with Kelvin-Voigt damping
Filippo Dell'Oro, Lassi Paunonen, David Seifert
We study the long-time behaviour of solutions to a one-dimensional linear Klein-Gordon equation with Kelvin-Voigt damping. One of the interesting features of the equation is that t…
A remark on the growth rate of operator semigroups under resolvent bounds
Filippo Dell'Oro
We provide a growth bound for the operator norm of -semigroups on Hilbert spaces under a corresponding growth bound on the resolvent of the semigroup generator. For some super…
Vanishing viscosity limit for the compressible Navier-Stokes equations with non-linear density dependent viscosities
Luca Bisconti, Matteo Caggio, Filippo Dell'Oro
In a three-dimensional bounded domain we consider the compressible Navier-Stokes equations for a barotropic fluid with general non-linear density dependent viscosities and no-s…
Abstract damped wave equations: The optimal decay rate
Filippo Dell'Oro, Lorenzo Liverani, Vittorino Pata
The exponential decay rate of the semigroup generated by the abstract damped wave equation is here addressed, where is…
Gevrey regularity for the Euler-Bernoulli beam equation with localized structural damping
Matteo Caggio, Filippo Dell'Oro
We study a Euler-Bernoulli beam equation with localized discontinuous structural damping. As our main result, we prove that the associated -semigroup is of G…
A hierarchy of heat conduction laws
Filippo Dell'Oro, Vittorino Pata
The purpose of this work is to produce a family of equations describing the evolution of the temperature in a rigid heat conductor. This is obtained by means of successive approxim…
A short elementary proof of the Gearhart-Prüss theorem for bounded semigroups
Filippo Dell'Oro, David Seifert
We present a short elementary proof of the Gearhart-Prüss theorem for bounded -semigroups on Hilbert spaces.
Exponential stability of Timoshenko-Gurtin-Pipkin systems with full thermal coupling
Filippo Dell'Oro, Marcio A. Jorge Silva, Sandro B. Pinheiro
We analyze the stability properties of a linear thermoelastic Timoshenko-Gurtin-Pipkin system with thermal coupling acting on both the shear force and the bending moment. Under eit…
Optimal decay for a wave-heat system with Coleman-Gurtin thermal law
Filippo Dell'Oro, Lassi Paunonen, David Seifert
We study the long-term behaviour of solutions to a one-dimensional coupled wave-heat system with Coleman-Gurtin thermal law. Our approach is based on the asymptotic theory of …
On the stability of Bresse and Timoshenko systems with hyperbolic heat conduction
Filippo Dell'Oro
We investigate the stability of three thermoelastic beam systems with hyperbolic heat conduction. First, we study the Bresse-Gurtin-Pipkin system, providing a necessary and suffici…
On the MGT equation with memory of type II
Filippo Dell'Oro, Irena Lasiecka, Vittorino Pata
We consider the Moore-Gibson-Thompson equation with memory of type II $$ \partial_{ttt} u(t) + α\partial_{tt} u(t) + βA \partial_t u(t) + γAu(t)-\int_0^t g(t-s) A \partial_t u(s){\…
Second order linear evolution equations with general dissipation
Filippo Dell'Oro, Vittorino Pata
The contraction semigroup generated by the abstract linear dissipative evolution equation is analyzed, where is…
Global attractors for the Benjamin-Bona-Mahony equation with memory
Filippo Dell'Oro, Olivier Goubet, Youcef Mammeri +1
We consider the nonlinear integrodifferential Benjamin-Bona-Mahony equation where the dissipation i…
Steady states of elastically-coupled extensible double-beam systems
Filippo Dell'Oro, Claudio Giorgi, Vittorino Pata
Given and , we analyze an abstract version of the nonlinear stationary model in dimensionless form $$\begin{cases} u"" - \Big(β+ \varrho\int_0^1 |u'(s…
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…
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…
Timoshenko systems with fading memory
Monica Conti, Filippo Dell'Oro, Vittorino Pata
The decay properties of the semigroup generated by a linear Timoshenko system with fading memory are discussed. Uniform stability is shown to occur within a necessary and sufficien…
On the stability of Timoshenko systems with Gurtin-Pipkin thermal law
Filippo Dell'Oro, Vittorino Pata
We analyze a differential system describing a Timoshenko beam coupled with a temperature evolution of Gurtin-Pipkin type. A necessary and sufficient condition for exponential stabi…