Herrero, Miguel A.Velázquez, J.J. L.2023-06-202023-06-201993-100021-217210.1007/BF02764836https://hdl.handle.net/20.500.14352/57748We consider the problem (1) u(t) = u(xx) + e(u) when x is-an-element-of R, t > 0, (2) u (x, 0) = u0(x) when x is-an-element-of R, where u0(x) is continuous, nonnegative and bounded. Equation (1) appears as a limit case in the analysis of combustion of a one-dimensional solid fuel. It is known that solutions of (1), (2) blow-up in a finite time T, a phenomenon often referred to as thermal runaway. In this paper we prove the existence of blow-up profiles which are flatter than those previously observed. We also derive the asymptotic profile of u(x, T) near its blow-up points, which are shown to be isolated.engjournal articlehttp://www.springerlink.com/content/g078m201p243232v/http://www.springerlink.comrestricted access517.9536.2Semilinear heat-equationspoint blow-upEcuaciones diferenciales1202.07 Ecuaciones en Diferencias