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Optimal Control of the 2D Evolutionary Navier-Stokes Equations with Measure Valued Controls
- Publication Year :
- 2020
-
Abstract
- In this paper, we consider an optimal control problem for the two-dimensional evolutionary Navier-Stokes system. Looking for sparsity, we take controls as functions of time taking values in a space of Borel measures. The cost functional does not involve directly the control but we assume some constraints on them. We prove the well-posedness of the control problem and derive necessary and sufficient conditions for local optimality of the controls.<br />Comment: 24 pages
- Subjects :
- Mathematics - Optimization and Control
35Q30, 49J20, 49J52, 49K20, 49K40
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2007.03991
- Document Type :
- Working Paper