%0 Journal Article %@ 0036-1410 %A Vega de Prada, José 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 https://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.