%0 Journal Article
%@ 0036-1410
%A Vega de Prada, JosÃ© Manuel
%D 1988
%F upm:5983
%I SIAM - Society for Industrial and Applied Mathematics
%J SIAM Journal on Mathematical Analysis
%K global stability, invariant regions, porous catalysts, isothermaJ catalysts
%N 4
%P 774-796
%T Invariant Regions and Global Asymptotic Stability in an Isothermal Catalyst
%U http://oa.upm.es/5983/
%V 19
%X 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.