%0 Journal Article %T A new approach to the theory of heat conduction with finite wave speeds %A Vito Antonio Cimmelli %A Witold Kosi¨˝ski %A Katarzyna Saxton %J Le Matematiche %D 1991 %I University of Catania %X Relations between the physical models describing the heat conduction in solids and a phenomenological model leading to quasi-linear hyperbolic equations and systems of conservation laws are presented. A new semi-empirical temperature scale is introduced in terms of which a modified Fourier law is formulated. The hyperbolicity of the heat conduction equation is discussed together with some wave propagation problems. %U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/604