Pontryagin's principle for optimal control problem governed by 3D Navier-Stokes equations

DOI10.1007/s10957-017-1081-8zbMath1380.49023OpenAlexW2587937275MaRDI QIDQ2401507

Bui Trong Kien, Daniel Wachsmuth, Arnd Rösch

Publication date: 1 September 2017

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

Full work available at URL: https://doi.org/10.1007/s10957-017-1081-8

zbMATH Keywords

optimal controlregularityNavier-Stokes equationsPontryagin maximum principlepointwise control constraints

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Navier-Stokes equations for incompressible viscous fluids (76D05) Regularity of solutions in optimal control (49N60) Navier-Stokes equations (35Q30) Linear-quadratic optimal control problems (49N10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

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