Mixing Enhancement by Optimal Flow Advection

DOI10.1137/050647888zbMath1158.76043OpenAlexW2081916639MaRDI QIDQ3617226

Liu, Wei-Jiu

Publication date: 27 March 2009

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

Full work available at URL: https://semanticscholar.org/paper/a8b12ae82629e68c1f6a05587b6f46c39455e153

zbMATH Keywords

existenceoptimality conditionsadvection-diffusion equationoptimal mixing control

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence theories for optimal control problems involving partial differential equations (49J20) Diffusion and convection (76R99)

Related Items (11)

Boundary Control for Optimal Mixing via Navier--Stokes Flows ⋮ Bilinear Optimal Control of an Advection-Reaction-Diffusion System ⋮ Boundary control for optimal mixing by Stokes flows ⋮ Bilinear control of convection-cooling: from open-loop to closed-loop ⋮ Numerical algorithms and simulations of boundary dynamic control for optimal mixing in unsteady Stokes flows ⋮ Mixing enhancement in binary fluids using optimised stirring strategies ⋮ Exponential self-similar mixing by incompressible flows ⋮ Mixing enhancement in enzymatic chemical reactions by optimal tuning of flows ⋮ Stability analysis of heat flow with boundary time-varying delay effect ⋮ Optimal control of convection-cooling and numerical implementation ⋮ Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows

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