Finite-Time Blowup for a Particular Parabolic System
Jerry Bebernes, Andrew A. Lacey · SIAM Journal on Mathematical Analysis · 1990
The problem of blowup in finite time is considered for an initial boundary value problem for a two-dimensional parabolic system. This system models exothermic chemical reactions taking place within a porous medium, assuming one diffusing reactant and the usual Frank–Kamenetskii approximation to the classical Arrhenius rate law.