Analysis of optimal control problems for the 2-D stationary Boussinesq equations

DOI10.1006/jmaa.1999.6651zbMath0951.49006OpenAlexW2025847446MaRDI QIDQ1972055

Hyung-Chun Lee, Oleg Yurievich Imanuvilov

Publication date: 28 August 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6651

zbMATH Keywords

optimal controlincompressible flowscontrol of fluid flowexistence of minimizersoptimality systemthermally convected flows

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) PDEs in connection with fluid mechanics (35Q35) Existence theories for optimal control problems involving partial differential equations (49J20) Flow control and optimization for incompressible inviscid fluids (76B75)

Related Items (14)

Optimal Borel measure controls for the two-dimensional stationary Boussinesq system ⋮ Evolutionary Boussinesq model with nonmonotone friction and heat flux boundary conditions ⋮ Identification problems for a steady-state model of mass transfer ⋮ Extremum problems of boundary control for steady equations of thermal convection ⋮ Extremum problems of boundary control for a stationary thermal convection model ⋮ Numerical reconstruction of the boundary heat flux for the stationary equations of heat convection ⋮ A numerical approach to the optimal control of thermally convective flows ⋮ Analysis and approximation of linear feedback control problems for the Boussinesq equations ⋮ Unnamed Item ⋮ Optimal control problems for the two dimensional Rayleigh-Bénard type convection by a gradient method ⋮ On the uniqueness and stability of solutions of extremal problems for the stationary Navier-Stokes equations ⋮ Optimal boundary control of the Boussinesq approximation for polymeric fluids ⋮ О математической модели неизотермического ползущего течения жидкости через заданную область ⋮ Stability of optimal controls for the stationary Boussinesq equations

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