The Formation of the Dead Core in Parabolic Reaction-Diffusion Problems
Catherine Bandle, Ivar Stakgold · Transactions of the American Mathematical Society · 1984
For some nonlinear parabolic problems of reaction-diffusion, a region of zero reactant concentration may be formed in finite time. Conditions are formulated for the existence of such a dead core and estimates for its time of onset are also given. These results complement previous ones that dealt with the stationary (elliptic) problem.