unique critical length, a classical solution before its quenching time, finitely many quenching points which are not boundary points, and the blow-up of the time-derivative of its solution at the quenching point.
Abstract
A singular reaction-diffusion mixed boundary-value quenching problem is shown to have a unique critical length, a classical solution before its quenching time, finitely many quenching points which are not boundary points, and the blow-up of the time-derivative of its solution at the quenching point.