Optimal control of Navier-Stokes equations with periodic inputs

DOI10.1016/S0362-546X(96)00306-9zbMath0914.49009MaRDI QIDQ4208374

Viorel Barbu

Publication date: 2 June 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

dynamic programmingHamilton-Jacobi equationPontryagin's maximum principlecontrol of fluidscontrol of Navier-Stokes equations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Dynamic programming in optimal control and differential games (49L20) Navier-Stokes equations (35Q30) Existence theories for optimal control problems involving partial differential equations (49J20)

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Cites Work

• Qualche risultato riguardo alle equazioni di Navier-Stokes nel caso bidimensionale
• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• Analysis and control of nonlinear infinite dimensional systems
• A Dissipative Feedback Control Synthesis for Systems Arising in Fluid Dynamics
• Necessary and sufficient conditions for optimal controls in viscous flow problems
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