| In this work we mainly study, from the point of view of hyperbolic heat conduction model, a heat conduction problem based on the processing of materials by irradiation with a laser beam of high intensity and very short application times.;This kind of problems carry the development of a rigorous mathematical study of the hyperbolic heat equation in order to provide the theoretical foundations for temperares computation, from the point of view of hyperbolic model, in different heat conduction problems, including those whose initial and boundary conditions or internal heat sources are given by non regular distributions. The base of the mathematical treatment that we are going to develop is mainly found in the study and computation of the Green's function of the Neumann problem for the hyperbolic heat equation.;Below, we also include the study of a problem based on the heat conduction between two bodies that initially are at different temperatures and suddenly are placed together in contact, again from the viewpoint of hyperbolic model. This problem is solved supposing perfect contact between bodies and contact with resistance. |
