Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 88, pp. 1-12.

Title: Coupled porosity-fluid concentration flux-temperature waves in isotropic porous media
       
Authors: Alessio Fama (Univ. of Messina, Messina, Italy)
         Liliana Restuccia (Univ. of Messina, Messina, Italy)

Abstract:
In this article, we study a problem on propagation of coupled  porosity, 
fluid concentration flux, and temperature waves.
We use a  model formulated in previous papers for porous media saturated
by a fluid flow, in  the framework of non-equilibrium thermodynamics.
We derive three modes of propagation in the one-dimensional and
perfect isotropic case, and then we test the validity of the model.
The  waves propagation velocities are represented in diagrams as functions of
the wave number. The derived results have applications in technological sectors 
such as seismology, medical sciences, geology and nanotechnology.

Submitted February 18, 2021. Published October 20, 2021.
Math Subject Classifications: 74A15, 80A015.
Key Words: Porous media; non-equilibrium thermodynamics; plane waves.