Cimatti, Giovanni:
Functional Solutions for Fluid Flows Through Porous Media
Bollettino dell'Unione Matematica Italiana Serie 9 5 (2012), fasc. n.1, p. 187-200, (English)
pdf (277 Kb), djvu (109 Kb). | MR 2919656 | Zbl 06078979
Sunto
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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Con il contributo del Ministero per i Beni e le Attività Culturali