Optimal control of planar flow of incompressible non-Newtonian fluids

DOI10.4171/ZAA/1412zbMath1387.76033OpenAlexW1983489755MaRDI QIDQ987775

Daniel Wachsmuth, Tomáš Roubíček

Publication date: 16 August 2010

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=29&iss=3&rank=5

zbMATH Keywords

optimal controlnecessary optimality conditionsnon-Newtonian fluidssufficient optimality conditions

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Non-Newtonian fluids (76A05) 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 (12)

Existence of optimal control for a nonlinear-viscous fluid model ⋮ Hölder continuity of velocity gradients for shear-thinning fluids under perfect slip boundary conditions ⋮ Distributed control for shear-thinning non-Newtonian fluids ⋮ Regularity of flows and optimal control of shear-thinning fluids ⋮ A data assimilation approach for non-Newtonian blood flow simulations in 3D geometries ⋮ Optimal control of two dimensional third grade fluids ⋮ On optimal control in a model of rigid-viscoplastic media with Dirichlet boundary conditions ⋮ A note on the regularity of flows with shear-dependent viscosity ⋮ On the optimal control of a class of non-Newtonian fluids ⋮ Shape optimization for non-Newtonian fluids in time-dependent domains ⋮ Optimal boundary control of nonlinear-viscous fluid flows ⋮ Controlling the Power-Law Fluid Flow and Heat Transfer Under the External Magnetic Field Using the Flow Index and the Hartmann Number

Cites Work

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• First- and Second-Order Optimality Conditions for a Class of Optimal Control Problems with Quasilinear Elliptic Equations
• Necessary and sufficient conditions for optimal controls in viscous flow problems
• Optimal Controls of Navier–Stokes Equations
• Optimal control of quasilinear parabolic equations
• $L_p$-Theory for a Class of Non-Newtonian Fluids

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