Electron. J. Differential Equations, Vol. 2021 (2021), No. 88, pp. 1-12.
Coupled porosity-fluid concentration flux-temperature waves in isotropic porous media
Alessio Fama, Liliana Restuccia
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.
DOI: https://doi.org/10.58997/ejde.2021.88
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Alessio FamÃ
University of Messina
Department of Mathematical and Computer Sciences
Physical Sciences and Earth sciences
Viale F. Stagno d'Alcontres
Salita Sperone 31, 98166 Messina, Italy
email: alefama@unime.it
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Liliana Restuccia
University of Messina
Department of Mathematical and Computer Sciences
Physical Sciences and Earth sciences
Viale F. Stagno d'Alcontres
Salita Sperone 31, 98166 Messina, Italy
email: lrestuccia@unime.it
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