Problems on control for a steady-state magnetic-hydrodynamic model of a viscous heat-conducting fluid under mixed boundary conditions

2017 ◽  
Vol 62 (3) ◽  
pp. 128-132 ◽  
Author(s):  
G. V. Alekseev
Keyword(s):  
Steady State ◽  
Boundary Conditions ◽  
Hydrodynamic Model ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Conducting Fluid ◽  
Heat Conducting ◽  
Viscous Heat

scholarly journals Stability of Optimal Controls for the Stationary Boussinesq Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-28 ◽  
Author(s):  
Gennady Alekseev ◽  
Dmitry Tereshko
Keyword(s):  
Boundary Conditions ◽  
Mixed Boundary ◽  
Boussinesq Equations ◽  
Mixed Boundary Conditions ◽  
State Equation ◽  
Dirichlet Boundary Conditions ◽  
Heat Conducting ◽  
Optimal Controls ◽  
Viscous Heat ◽  
Cost Functionals

The stationary Boussinesq equations describing the heat transfer in the viscous heat-conducting fluid under inhomogeneous Dirichlet boundary conditions for velocity and mixed boundary conditions for temperature are considered. The optimal control problems for these equations with tracking-type functionals are formulated. A local stability of the concrete control problem solutions with respect to some disturbances of both cost functionals and state equation is proved.

scholarly journals Cooling of a plate with general boundary conditions

2000 ◽  
Vol 23 (7) ◽  
pp. 477-485
Author(s):  
F. D. Zaman ◽  
R. Al-Khairy
Keyword(s):  
Steady State ◽  
Boundary Conditions ◽  
Constant Velocity ◽  
Mixed Boundary ◽  
Infinite Plate ◽  
Mixed Boundary Conditions ◽  
General Boundary Conditions ◽  
Steady State Temperature ◽  
Special Cases ◽  
Hopf Method

We consider steady state temperature distribution in a homogeneous rectangular infinite plate the lower part of which is cooled by a fluid flowing at a constant velocity while the upper part satisfies the general mixed boundary conditions. The Wiener-Hopf method has been used to obtain the solution in the infinite series form and some special cases have been discussed.

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