Stability of optimal controls for the stationary Boussinesq equations

DOI10.1155/2011/535736zbMath1236.49064OpenAlexW2110190110WikidataQ58686793 ScholiaQ58686793MaRDI QIDQ762955

Gennady V. Alekseev, Dmitry A. Tereshko

Publication date: 8 March 2012

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/535736

zbMATH Keywords

stationary Boussinesq equationsinhomogeneous Dirichlet boundary conditionslocal stability of optimal controlstracking-type functionals

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with control and optimization (35Q93)

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Cites Work

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• Identification problems for a steady-state model of mass transfer
• Extremum problems of boundary control for steady equations of thermal convection
• The approximation of boundary control problems for fluid flows with an application to control by heating and cooling
• On some control problems in fluid mechanics
• Solvability of stationary boundary control problems for heat convection equations
• A control problem in biconvective flow
• Analysis and computational methods of Dirichlet boundary optimal control problems for 2D Boussinesq equations
• Analysis of optimal control problems for the 2-D stationary Boussinesq equations
• Optimal and Robust Control of Fluid Flows: Some Theoretical and Computational Aspects
• Finite Element Methods for Navier-Stokes Equations
• Some optimal control problems of multistate equations appearing in fluid mechanics
• Optimal Control of Thermally Convected Fluid Flows
• Perspectives in Flow Control and Optimization
• Coefficient inverse extremum problems for stationary heat and mass transfer equations