Periodic optimal control of the Boussinesq equation.

DOI10.1016/S0362-546X(02)00296-1zbMath1039.49026OpenAlexW1983051726MaRDI QIDQ1868829

Cǎ tǎ lin Trenchea

Publication date: 28 April 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(02)00296-1

zbMATH Keywords

maximum principleoptimal control problemMoreau-Yosida regularizationperiodic conditionsBoussinesq problem

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 viscous fluids (76D55)

Related Items (3)

Boundary optimal control of time-periodic Stokes-Oseen flows ⋮ Optimal Control of Time-Periodic Navier-Stokes-Voigt Equations ⋮ Analysis of a multistate control problem related to food technology

Cites Work

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• On some control problems in fluid mechanics
• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• Analysis and control of nonlinear infinite dimensional systems
• Optimal control of Navier-Stokes equations with periodic inputs
• Local exact controllability for the 2-D Boussinesq equations with the Navier slip boundary conditions
• Optimal Control of Linear Periodic Resonant Systems in Hilbert Spaces

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