On the spatial behavior of solutions for non-linear type II heat conduction

Abstract

Abstract:In this paper we study the spatial behavior of the solutions for a problem determined by the nonlinear version of the Green and Naghdi type II heat conduction theory. We obtain a spatial decay estimates for the usual boundary-initial-value problem and also an upper bound for the amplitude term of the spatial estimate. Finally, we analyze a non-standard initial value problem defined on a particular family of heat conductors.