4 papers
On linear waves with memory in a Bessel-like medium
A. Giusti, I. Colombaro, A. Mentrelli
We discuss the propagation of harmonic and transient waves for systems governed by a wave equation with memory whose integral kernel involves ratios of modified Bessel functions of…
Thermal aspects of the anomalous limit of Brans-Dicke gravity
L. Gallerani, A. Giusti, A. Mentrelli +1
Brans-Dicke gravity does not always reduce to General Relativity in the limit for the coupling constant. This anomalous behavior is examined within the formalism of th…
Energy of a non-linear viscoelastic model compatible with fractional relaxation
Andrea Giusti, Andrea Mentrelli, Tommaso Ruggeri
Recently, a non-linear model of viscoelasticity based on Rational Extended Thermodynamics was proposed in [arXiv:2312.05116]. This theory extends the evolution of the viscous stres…
On variable-order fractional linear viscoelasticity
A. Giusti, I. Colombaro, R. Garra +2
We discuss a generalisation of fractional linear viscoelasticity based on Scarpi's approach to variable-order fractional calculus. After reviewing the general mathematical framewor…