The time optimal control of Navier-Stokes equations

Systems and Control Letters

Volumn 30, Issue 2-3, 1997, Pages 93-100

  Barbu, Viorel ^a  

^a ALEXANDRU IOAN CUZA UNIVERSITY OF IASI   (Romania)

Author keywords

Bang bang control; Minimal time; Navier Stokes equations; Optimal control; The maximum principle

Indexed keywords

EID: 0002456810     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(96)00083-7     Document Type: Article

References (7)

1. V. Barbu, The time optimal control problem for parabolic variational inequalities, Appl. Math. Optim. 11 (1984) 1-22.
2. V. Barbu, The time optimal problem for a class of nonlinear distributed systems, in: I. Lasiecka and R. Triggiani, eds., Control Problems Described by Partial Differential Equations, Lecture Notes in Control and Information Science, Vol. 97 (Springer, Berlin, 1987) 16-39.
3. V. Barbu, Analysis and Control of Nonlinear Infinite Dimensional Systems (Academic Press, New York, 1993).
4. H.O. Fattorini, A unified theory of necessary conditions for nonlinear nonconvex control systems. Appl. Math. Optim. 15 (1987) 141-185.
5. H.O. Fattorini and S.S. Sritharan, Necessary and sufficient conditions for optimal controls in viscous flow problems, Proc. Roy. Soc. Edinburgh A 124 (1994) 211-251.
6. R. Temam, Navier- Stokes Equations and Nonlinear Functional Analysis, CBMS-NSF Regional Conference Series in Applied Mathematics (SIAM, Philadelphia, 1983).
7. R. Temam, Navier-Stokes Equations; Theory and Numerical Analysis (North-Holland, Amsterdam, 1984).