Boundary Control for Optimal Mixing via Navier--Stokes Flows

DOI10.1137/17M1148049zbMath1472.49005OpenAlexW2883990480MaRDI QIDQ3177161

Weiwei Hu, Jiahong Wu

Publication date: 27 July 2018

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1148049

zbMATH Keywords

nonlinear controlNavier-Stokes flowsoptimal mixingNavier slip boundary controlpassive and active scalars

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Turbulent transport, mixing (76F25) Existence theories for optimal control problems involving partial differential equations (49J20) Flow control and optimization for incompressible viscous fluids (76D55) PDEs in connection with control and optimization (35Q93)

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Bilinear control of convection-cooling: from open-loop to closed-loop ⋮ Feedback control for fluid mixing via advection ⋮ Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries ⋮ An approximating control design for optimal mixing by Stokes flows ⋮ Numerical algorithms and simulations of boundary dynamic control for optimal mixing in unsteady Stokes flows ⋮ Mini-workshop: Mathematics of dissipation -- dynamics, data and control. Abstracts from the mini-workshop held May 9--15, 2021 (hybrid meeting) ⋮ An approximating approach for boundary control of optimal mixing via Navier-Stokes flows ⋮ Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system

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