The Phragmén-Lindelöf Type Alternative Results for Binary Heat Conduction Equations

Abstract

The asymptotic behavior of the solution to the binary heat conduction equation in the semi-infinite domain was considered, in which the local non-homogeneous Neumann condition was applied to the side of the cylinder. This condition simulates the local damage of the insulation material on the side of the cylinder. By means of the differential inequality technique and the energy analysis method, the Phragmén-Lindelöf-type alternative results of the heat conduction model were obtained.