López Molina, Juan Antonio; Trujillo Guillén, Macarena Hyperbolic heat conduction in two semi-infinite bodies in contact. (English) Zbl 1099.80005 Appl. Math., Praha 50, No. 1, 27-42 (2005). Summary: We find, under the viewpoint of the hyperbolic model of heat conduction, the exact analytical solution for the temperature distribution in all points of two semi-infinite homogeneous isotropic bodies that initially are at uniform temperatures \(T_0^1\) and \(T_0^2\), respectively, suddenly placed together at time \(t=0\) and assuming that the contact between the bodies is perfect. We make graphics of the obtained temperature profiles of two bodies at different times and points. And finally, we compare the temperature solution obtained from hyperbolic model to the parabolic or classical solution, for the same problem of heat conduction. MSC: 80A20 Heat and mass transfer, heat flow (MSC2010) 35L20 Initial-boundary value problems for second-order hyperbolic equations Keywords:hyperbolic heat conduction; relaxation time × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link References: This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.