Abstract

Find: People Places Events Search: At Rutgers On the Web Jump to: Home Publications Preprints Technical Reports Editorial Boards Meetings		Abstract
			In this paper we analyze the asymptotic finite time blow-up of solutions to the heat equation with a nonlinear Neumann boundary flux in one space dimension. We perform a detailed examination of the nature of the blow-up, which can occur only at the boundary, and we provide tight upper and lower bounds for the blow-up rate for ``arbitrary'' nonlinear functions $F$, subject to very mild restrictions. View/Download Publication in pdf format Back to Preprint list Michael Vogelius 2-13-98