Optimal control of turbulent flow as measure solutions

International Journal of Computational Fluid Dynamics

Volumn 11, Issue 1-2, 1998, Pages 169-180

  Ahmed, N U ^a  

^a UNIVERSITY OF OTTAWA   (Canada)

Author keywords

Incompressible flows; Optimal flow control; Penalty methods

Indexed keywords

EID: 0032252587     PISSN: 10618562     EISSN: None     Source Type: Journal    
DOI: 10.1080/10618569808940871     Document Type: Article

References (11)

1. Ahmed, N. U. (1991). Semigroup Theory with Applications to Systems and Control, Pitman Res. Notes in Math. Ser., 246, Longman Scientific and Technical and John Wiley, London, New York.
2. Ahmed, N. U., Measure Solutions for Semilinear Systems with Unbounded Nonlinearities, J. Nonlinear Analysis accepted June 24, 1997 (currently in press).
3. Ahmed, N. U., Optimal Control of Measure Solutions for Infinite Dimensional Semilinear Systems, Proc. 4th International Symposium on Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, August 26-29 (1997) pp. 55-62.
4. Ahmed, N. U. (1995). Optimal Control of Infinite Dimensional Systems Governed by Functional Differential Inclusions, Discussiones Mathematicae- Differential Inclusions, 15, 75-94.
5. Dunford, N. and Schwartz, J. T. (1958). Linear Operators, Part 1, Interscience Publishers, Inc., New York.
6. Temam, R. (1988). Infinite Dimensional Dynamical Systems in Mechanics and Physics, Applied Mathematical Sciences, 68, Springer-Varlag, New York Berlin Hiedelberg London Paris Tokyo.
7. Dalecky, Y. L. and Fomin, S. V. (1991). Measures and Differential Equations in Infinite Dimensional Space, Mathematics and its Application Series, Vol. 76, Kluwer Academic Publishers, Dorddrecht/Boston/London.
8. Ahmed, N. U. (1992). Optimal Control of Hydrodynamic Flow with Possible Application to Artificial Heart, J. Dynamic Systems and Applications, 1(2), 103-119.
9. Ahmed, N. U. (1995). Mathematical Problems in Modeling Artificial Heart, J. MPE, 1, 245-254.
10. Sharapour, A. and Ahmed, N. U., Boundary Control of Navier-Stokes Equations with Potential Applications to Artificial Hearts, Proc. CFD Soc. Canada, Toronto, June 1-3, (1994), pp. 387-393.
11. Sharapour, A. (1995). Optimal Control of Time Dependent Viscous Flow with Potential Applications to Artificial Hearts, Ph.D Thesis, Electrical Engineering and Mechanical and Aerospace Engineering, University of Ottawa, Canada.