Several projects related to spatial optimal control are part of the Grid Computing project at UTK.Papers
Optimal control of parameters and input functions for nonlinear systems. 2000 Houston Journal of Mathematics.
Optimal control of invasive plants
Optimal control of disease (raccoon rabies)
Optimal Harvesting of a Semilinear Elliptic Fishery Model. Preprint.
ABSTRACT: We consider an optimal fishery harvesting problem using a semilinear elliptic PDE model, which has logistic growth and the harvest depends on the location of the fish. We consider two objective functionals: maximizing the yield and minimizing the cost or the variation in the fishing effort (control). Existence, necessary conditions and uniqueness for the optimal harvesting control for both cases are established. The optimal control when minimizing the variation is characterized by a variational inequality instead of the usual algebraic characterization, whichinvolves the solutions of an optimality system of nonlinear elliptic partial differential equations. Numerical examples are given to illustrate the results for both cases.