Some optimal control problems of multistate equations appearing in fluid mechanics

DOI10.1051/m2an/1993270202231zbMath0769.49002OpenAlexW2517960817MaRDI QIDQ4031998

Frederic Abergel, Eduardo Casas

Publication date: 4 May 1993

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193702

zbMATH Keywords

optimality conditionssteady-state Navier-Stokes equationswell-posed linear elliptic system

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Existence theories for optimal control problems involving partial differential equations (49J20)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Green's formula for quasilinear elliptic operators
• On some control problems in fluid mechanics
• Existence and nonuniqueness of rectangular solutions of the Benard problem
• Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls
• Boundary Velocity Control of Incompressible Flow with an Application to Viscous Drag Reduction