Control localized on thin structures for the linearized Boussinesq system

DOI10.1007/s10957-008-9479-yzbMath1165.49024OpenAlexW2142172316MaRDI QIDQ1029276

Jean-Pierre Raymond, Phuong Anh Nguyen

Publication date: 10 July 2009

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-008-9479-y

zbMATH Keywords

optimal controlcontrol supported on submanifoldslinearized Boussinesq systemspointwise controls

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) PDEs in connection with fluid mechanics (35Q35) Linearizations (93B18)

Related Items (4)

The internal stabilization of the Stokes-Oseen equation by feedback point controllers ⋮ Optimal control of urban air pollution related to traffic flow in road networks ⋮ Pointwise control of the Boussinesq system ⋮ Numerical simulation of air pollution due to traffic flow in urban networks

Cites Work

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• Geometric theory of semilinear parabolic equations
• Pointwise control of Burgers' equation -- a numerical approach
• Optimal pointwise control of semilinear parabolic equations
• Optimal control problems governed by semilinear parabolic equations with low regularity data
• Quelques Remarques Sur La Regularite L^p Du Semi–Groupe De Stokes
• Control problems for convection-diffusion equations with control localized on manifolds
• A Computational Approach to Controllability Issues for Flow-Related Models. (I): Pointwise Control of the Viscous Burgers Equation

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