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Optimal Control of Nonlinear Transport-Flow Mixed Variational Problems |
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| Authors: | Gonzalo Alduncin |
| Affiliation: | 1. Department of Natural Resources , Institute of Geophysics, National Autonomous University of Mexico , Mexico alduncin@geofisica.unam.mx |
| Abstract: | Optimal control of nonlinear transport-flow mixed variational problems are studied qualitatively, and the solvability analysis of the transport and flow mixed state systems is performed on the basis of primal and dual evolution duality principles. Corresponding primal and dual mixed optimality conditions are established by the application of some fundamental perturbation conjugate duality results recently proposed [8]. Further, for computational purposes, two- and three-field proximation penalty-duality algorithms in the resolution of the mixed optimality conditions are finally presented and discussed. |
| Keywords: | Constrained optimal control Composition duality methods Duality principles Evolution mixed variational inclusions Mixed variational nonlinear transport-flow Perturbation conjugate duality methods Proximation penalty-duality algorithms Set-valued variational analysis |