Asymptotic stability of a nonisothermal plug flow reactor infinite-dimensional model

The asymptotic stability property is studied for a nonisothermal plug flow tubular reactor model, which is described by semi-linear partial differential equations (PDE's) derived from mass and energy balance principles. It is reported that, under some condition on the model parameters, any constant temperature equilibrium profile is an asymptotically stable equilibrium of such model. The analysis is based on an asymptotic stability criterion for a class of infinite-dimensional (distributed parameter) semi-linear Banach state space systems and the concept of a strictly m-dissipative operator.