doi: 10.1685/journal.caim.462

Flow of a viscous fluid through a porous medium when the thermal conductivity and the viscosity depend on the temperature and the pressure

Giovanni Cimatti

Abstract


Using the Hadamard-Caccioppoli global invertibility theorem we prove the existence and uniqueness of a problem of fluid flow in a porous medium assuming that the thermal conductivity and the viscosity depend on the temperature and on the pressure. A special case which can be reduced to the Riccati equation is also studied.

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Communications in Applied and Industrial Mathematics
ISSN: 2038-0909