Dynamics for controlled 2-D Boussinesq systems with distributed controls

DOI10.1016/S0022-247X(02)00253-6zbMath1032.76018MaRDI QIDQ1856797

Hyung-Chun Lee, Byeong Chun Shin

Publication date: 11 February 2003

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

zbMATH Keywords

existencelong-time behaviorcost functionaloptimal solutionBoussinesq systemsquasi-optimal solution

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) PDEs in connection with fluid mechanics (35Q35) Asymptotic stability in control theory (93D20) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (1)

The optimal start control problem for 2D Boussinesq equations

Cites Work

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• On some control problems in fluid mechanics
• Finite Element Methods for Navier-Stokes Equations
• Dynamics for Controlled Navier--Stokes Systems with Distributed Controls
• Dynamics and Approximations of a Velocity Tracking Problem for the Navier--Stokes Flows with Piecewise Distributed Controls
• Dynamics for linear feedback controlled two-dimensional Bénard equations with distributed controls.

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