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An optimal control free boundary problem for the Navier–Stokes equations

✍ Scribed by Bui An Ton

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
134 KB
Volume
63
Category
Article
ISSN
0362-546X

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✦ Synopsis

The existence of a weak solution of a free boundary problem for the Navier-Stokes equations with measure data is shown. The problem may be considered as a model of the flow of blood around the heart valves. Feedback laws giving the forces acting on the valves from the observed flow in a fixed subregion, are established.

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A semi-smooth Newton method for control
A semi-smooth Newton method for control constrained boundary optimal control of the Navier–Stokes equations
✍ J.C. de los Reyes; K. Kunisch 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 604 KB

In this paper we study optimal control of the Navier-Stokes equations when the control acts as a pointwise constrained boundary condition of Dirichlet type. The problem is analyzed in the control space H 1/2 00 , the optimality system and second order sufficient optimality conditions are derived. Fo