BLOWN-UPS OF HEAT-CONDUCTION OF GROUND TEMPERATURE

In this paper, a class of nonlinear heat-conduction equations is deriv ed. The properties of these heat-conduction equations are analyzed. It is shown that the solutions of these equations contain singularity. T hat is, when T = T-m, discontinuity, i.e. blown-up, occurs to the solu tions. The occurrence of the blown-ups is closely related to the abnor mal distribution of the initial ground temperatures, and so there migh t be some connections between blown-ups and earthquakes.