Optimal boundary control of the Boussinesq approximation for polymeric fluids

DOI10.1007/s10957-021-01849-4zbMath1466.49002OpenAlexW3155408830MaRDI QIDQ2032009

Evgenii S. Baranovskii

Publication date: 15 June 2021

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

Full work available at URL: https://doi.org/10.1007/s10957-021-01849-4

zbMATH Keywords

optimal controlboundary controlBoussinesq equationsnon-isothermal flowsmarginal functionaqueous polymer solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (5)

Optimal control problems for the reaction-diffusion-convection equation with variable coefficients ⋮ The exploration of thin liquid film flow under the influences of various physical parameters by a new analytical innovation ⋮ Analysis of inhomogeneous boundary value problems for generalized Boussinesq model of mass transfer ⋮ On the stability of solutions to control problems for a nonlinear reaction-diffusion-convection model ⋮ Boundary control problems for nonlinear reaction-diffusion-convection model

Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Mechanics and mathematics of fluids of the differential type
• On time-dependent flows of visco-elastic fluids
• Solvability of stationary boundary control problems for heat convection equations
• Boundary control problem for heat convection equations with slip boundary condition
• Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
• An optimal control problem for the Oskolkov equation
• Optimal control problem for a stationary model of low concentrated aqueous polymer solutions
• Analysis of optimal control problems for the 2-D stationary Boussinesq equations
• Model of a nonuniformly heated viscous flow through a bounded domain
• Weak solvability of equations modeling steady-state flows of second-grade fluids
• On the unique solvability of the problem of the flow of an aqueous solution of polymers near a critical point
• Time optimal control of the unsteady 3D Navier-Stokes-Voigt equations
• Local exact controllability to the trajectories of the Boussinesq system
• An optimal boundary control problem for the motion equations of polymer solutions
• Optimal Control of the Instationary Three Dimensional Navier-Stokes-Voigt Equations
• Optimal boundary control of nonlinear-viscous fluid flows
• The Nonautonomous Linear Oskolkov Model on a Geometrical Graph: The Stability of Solutions and the Optimal Control Problem
• Exact controllability of the Navier-Stokes and Boussinesq equations
• Numerical solution of an optimal control problem for Oskolkov's system
• О математической модели неизотермического ползущего течения жидкости через заданную область

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