Instantaneous extinction, step discontinuities and blow-up
Brian H. Gilding, Róbert Kersner · Nonlinearity · 2003
This note concerns reaction–diffusion processes which display remarkable behaviour. Everywhere the concentration, density or temperature exceeds some critical level until at some moment in time it decreases to the critical level at one point in space. At this instant, the complete profile immediately drops to the critical level at every point in space, and then remains there.