Invariant Regions and Global Asymptotic Stability in an Isothermal Catalyst
Jose Manuel Vega · SIAM Journal on Mathematical Analysis · 1988
A well-known model for the evolution of the (space-dependent) concentration and (lumped) temperature in a porous catalyst is considered. A sequence of invariant regions of the phase space is given, which converges to a globally asymptotically stable region B. Quantitative sufficient conditions are obtained for (the region B to consist of only one point and) the problem to have a (unique) globally asymptotically stable steady state.