Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502890 | Journal of Mathematical Analysis and Applications | 2005 | 27 Pages |
Abstract
We consider the mathematical formulation and analysis of an optimal control problem associated with the tracking of the velocity and the magnetic field of a viscous, incompressible, electrically conducting fluid in a bounded two-dimensional domain through the adjustment of distributed controls. Existence of optimal solutions is proved and first-order necessary conditions for optimality are used to derive an optimality system of partial differential equations whose solutions provide optimal states and controls. Semidiscrete-in-time approximations are defined and their convergence to the exact optimal solutions is shown.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Max Gunzburger, Catalin Trenchea,