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

Max D. Gunzburger; O. Yu. Imanuvilov

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- 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 (2010): 477-500. <http://eudml.org/doc/197359>.

@article{Gunzburger2010,

abstract = {
An optimal control problem for a model for stationary, low Mach
number, highly nonisothermal, viscous flows is considered.
The control problem involves the minimization of a measure of
the distance between the velocity field and a given target
velocity field. The existence of solutions of a boundary value
problem for the model equations is established as is the
existence of solutions of the optimal control problem. Then, a
derivation of an optimality system, i.e., a boundary value
problem from which the optimal control and state may be
determined, is given.
},

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

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

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

language = {eng},

month = {3},

pages = {477-500},

publisher = {EDP Sciences},

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

url = {http://eudml.org/doc/197359},

volume = {5},

year = {2010},

}

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

DA - 2010/3//

PB - EDP Sciences

VL - 5

SP - 477

EP - 500

AB -
An optimal control problem for a model for stationary, low Mach
number, highly nonisothermal, viscous flows is considered.
The control problem involves the minimization of a measure of
the distance between the velocity field and a given target
velocity field. The existence of solutions of a boundary value
problem for the model equations is established as is the
existence of solutions of the optimal control problem. Then, a
derivation of an optimality system, i.e., a boundary value
problem from which the optimal control and state may be
determined, is given.

LA - eng

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

UR - http://eudml.org/doc/197359

ER -

## References

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- R. Temam, Navier-Stokes Equations. North-Holland, Amsterdam (1979).
- L. Vlasov, Approximate properties of sets in normed linear spaces. Russian Math. Surveys28 (1973) 1-66. Zbl0293.41031

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