On environmental protection, an investigation of a quasilinear evolution system’s controllability and optimality

The present study revealed the quasi-linear evolution system’s controllability and optimal control outcomes. Starting off with the analytic semi-group theory, controllability results for quasilinear systems were presented. The latter employs fixed-point theorems to arrive at the quasi-linear system’s optimum control. Moreover, two concerns related to enviornmental protection are examined. The first one is with optimisation and control theory with an emphasis on minimising environmental harm, while the second one is about numerical models of the dynamics and transformation of air pollutants. Two concrete instances are then provided to demonstrate the application of our key findings.