An optimal control free boundary problem for the Navier-Stokes equations

DOI10.1016/J.NA.2004.12.028zbMath1153.49320OpenAlexW2071452176MaRDI QIDQ999469

Bui An Ton

Publication date: 4 February 2009

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/j.na.2004.12.028

zbMATH Keywords

boundary controlfree boundaryfeedback laws

Mathematics Subject Classification ID

Feedback control (93B52) Applications of optimal control and differential games (49N90) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35) Physiological flows (76Z05) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (4)

First- and second-order necessary optimality conditions for optimal control problems governed by stationary Navier-Stokes equations with pure state constraints ⋮ Pontryagin's principle for optimal control problem governed by 3D Navier-Stokes equations ⋮ Second-order optimality conditions and solution stability to optimal control problems governed by stationary Navier-Stokes equations ⋮ Second-order necessary optimality conditions for a class of optimal control problems governed by partial differential equations with pure state constraints

Cites Work

• Nonlinear elliptic and parabolic equations involving measure data
• Existence of renormalized solutions to nonlinear elliptic equations with lower-order terms and right-hand side a measure.
• Time-dependent Stokes equations with measure data
• Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
• Flow patterns around heart valves: A numerical method

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