Browsing by Author "Garra, R."
Now showing items 1-4 of 4
-
Fractional relaxation with time-varying coefficient
Garra, R.; Giusti, A.; Mainardi, F.; Pagnini, G.
(2014-12-31)
From the point of view of the general theory of the hyper-Bessel operators, we consider a particular operator that is suitable to generalize the standard process of relaxation by taking into account both memory effects of ... -
A generalized Stefan model accounting for system memory and non-locality
Garra, R.; Falcini, F.; Voller, V.R.; Pagnini, G. (2020-05)
The Stefan problem, involving the tracking of an evolving phase-change front, is the prototypical example of a moving boundary problem. In basic one- dimensional problems it is well known that the front advances as the ... -
Modeling anomalous heat diffusion: Comparing fractional derivative and non-linear diffusivity treatments
(2018-11)In the Fourier heat conduction equation, when the flux definition is expressed as the product of a constant diffusivity and the temperature gradient, the characteristic length scale evolves as the square root of time. ... -
On the propagation of nonlinear transients of temperature and pore pressure in a thin porous boundary layer between two rocks.
(2019)The dynamics of transients of fluid-rock temperature, pore pressure, pollutants in porous rocks are of vivid interest for fundamental problems in hydrological, volcanic, hydrocarbon systems, deep oil drilling. This can ...