Functional Solutions for Fluid Flows Through Porous Media
Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 1, pp. 187-200

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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.
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/
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     title = {Functional {Solutions} for {Fluid} {Flows} {Through} {Porous} {Media}},
     journal = {Bollettino della Unione matematica italiana},
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     year = {2012},
     volume = {Ser. 9, 5},
     number = {1},
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     mrnumber = {2919656},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_1_a10/}
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