activity
20092026
most citedA New Approach to Equations with Memory

125 citations · 155 across the 6 of their papers we have counts for

collaborators

7 papers

math.AP2026

On generalised d'Alembert-type integral representations for damped wave equations on the quarter-plane

Andreas Chatziafratis, Claudio Giorgi, Alain Miranville +1

We rigorously construct and verify a posteriori new closed-form solutions for the forced Maxwell-Cattaneo-Vernotte equation (also broadly known as the damped wave equation, hyperbo…

math-ph2024★ 1 cited

Heat Conduction with {\it aging} memory

Sandra Carillo, Claudio Giorgi

The term material with memory is generally used to indicate materials whose mechanical and/or thermodynamical behaviour depends not only on the process at the present time but also…

math.AP2016

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…

math.DS2016

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…

math-ph2011★ 27 cited

Long-Term Damped Dynamics of the Extensible Suspension Bridge

Ivana Bochicchio, Claudio Giorgi, Elena Vuk

This work is focused on the doubly nonlinear equation, whose solutions represent the bending motion of an extensible, elastic bridge suspended by continuously distributed cables wh…

math.DS2009★ 2 cited

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…