Functional Solutions for Fluid Flows Through Porous Media
Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 1, pp. 187-200
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
The Levy-Caccioppoli global inversion theorem is applied to prove the existence and uniqueness of functional solutions for a problem of flow of a viscous incompressible fluid in a porous medium when the viscosity and the thermal conductivity depend on the temperature. A method based on the Abel integral equation, for determining the dependence of the viscosity from the temperature is also proposed.
@article{BUMI_2012_9_5_1_a10,
author = {Cimatti, Giovanni},
title = {Functional {Solutions} for {Fluid} {Flows} {Through} {Porous} {Media}},
journal = {Bollettino della Unione matematica italiana},
pages = {187--200},
publisher = {mathdoc},
volume = {Ser. 9, 5},
number = {1},
year = {2012},
zbl = {06078979},
mrnumber = {2919656},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_1_a10/}
}
Cimatti, Giovanni. Functional Solutions for Fluid Flows Through Porous Media. Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 1, pp. 187-200. http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_1_a10/