Now showing items 1-4 of 4
A generalized Stefan model accounting for system memory and non-locality
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 ...
On the propagation of nonlinear transients of temperature and pore pressure in a thin porous boundary layer between two rocks.
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 ...
Modeling anomalous heat diffusion: Comparing fractional derivative and non-linear diffusivity treatments
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. ...
Fractional relaxation with time-varying coefficient
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 ...