# Optimal control of stationary, low mach number, highly nonisothermal, viscous flows

Max D. Gunzburger; O. Yu. Imanuvilov

ESAIM: Control, Optimisation and Calculus of Variations (2000)

- Volume: 5, page 477-500
- ISSN: 1292-8119

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topGunzburger, Max D., and Imanuvilov, O. Yu.. "Optimal control of stationary, low mach number, highly nonisothermal, viscous flows." ESAIM: Control, Optimisation and Calculus of Variations 5 (2000): 477-500. <http://eudml.org/doc/90579>.

@article{Gunzburger2000,

author = {Gunzburger, Max D., Imanuvilov, O. Yu.},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {compressible flows; optimal control problem; low Mach number; nonisothermal viscous flows; existence of solutions; boundary value problem; optimal system},

language = {eng},

pages = {477-500},

publisher = {EDP Sciences},

title = {Optimal control of stationary, low mach number, highly nonisothermal, viscous flows},

url = {http://eudml.org/doc/90579},

volume = {5},

year = {2000},

}

TY - JOUR

AU - Gunzburger, Max D.

AU - Imanuvilov, O. Yu.

TI - Optimal control of stationary, low mach number, highly nonisothermal, viscous flows

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2000

PB - EDP Sciences

VL - 5

SP - 477

EP - 500

LA - eng

KW - compressible flows; optimal control problem; low Mach number; nonisothermal viscous flows; existence of solutions; boundary value problem; optimal system

UR - http://eudml.org/doc/90579

ER -

## References

top- [1] F. Durst, A. Galjukov, Y. Makarov, M. Shafer, P. Voinovich and A. Zhmakin, Efficient 3D unstructured grid algorithms for modelling of chemical vapour deposition in horizontal reactors, in Simulation of Semiconductor Devices and Processes, Vol. 6, edited by H. Ryssel and P. Pichler ( 1995) 258-261.
- [2] N. Efimov and S. Stechkin, Approximative compactness and Tchebycheff sets. Soviet Math. 2 ( 1961) 1226-1228.
- [3] E. Einset and K. Jensen, Finite element solution of three-dimensional mixed convection gas flows in horizontal channels using preconditioned iterative methods. Int. J. Numer. Meth. Engrg. 14 ( 1992) 817-841. Zbl0825.76443
- [4] C. Forester and A. Emery, A computational method for low Mach number unsteady compressible free convective flows. J. Comput. Phys. 10 ( 1972) 487-502. Zbl0249.76054
- [5] J.-L. Lions and E. Magenes, Non-homogeneous Boundary Value Problems and Applications 1. Springer, New York ( 1972). Zbl0223.35039
- [6] Y. Makarov and A. Zhmakin, On the flow regimes in VPE reactors. J. Cryst. Growth 94 ( 1989) 537-550.
- [7] J. Serrin, Mathematical priciples of classical fluid mechanics, in Handbuch der Physik VIII/1, edited by S. Flügge and C. Truesdell. Springer ( 1959) 1-125. MR108116
- [8] R. Temam, Navier-Stokes Equations. North-Holland, Amsterdam ( 1979). Zbl0426.35003MR603444
- [9] L. Vlasov, Approximate properties of sets in normed linear spaces. Russian Math. Surveys 28 ( 1973) 1-66. Zbl0293.41031MR404963

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