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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Gunzburger, 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

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  2. [2] N. Efimov and S. Stechkin, Approximative compactness and Tchebycheff sets. Soviet Math. 2 ( 1961) 1226-1228. 
  3. [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. [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. [5] J.-L. Lions and E. Magenes, Non-homogeneous Boundary Value Problems and Applications 1. Springer, New York ( 1972). Zbl0223.35039
  6. [6] Y. Makarov and A. Zhmakin, On the flow regimes in VPE reactors. J. Cryst. Growth 94 ( 1989) 537-550. 
  7. [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. [8] R. Temam, Navier-Stokes Equations. North-Holland, Amsterdam ( 1979). Zbl0426.35003MR603444
  9. [9] L. Vlasov, Approximate properties of sets in normed linear spaces. Russian Math. Surveys 28 ( 1973) 1-66. Zbl0293.41031MR404963

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