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.
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     author = {Cimatti, Giovanni},
     title = {Functional {Solutions} for {Fluid} {Flows} {Through} {Porous} {Media}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {187--200},
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     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/}
}
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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/