Optimal boundary control for the stationary Boussinesq equations with variable density
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Publication:3299010
DOI10.1142/S0219199719500317zbMath1443.49006OpenAlexW2942359012WikidataQ128001720 ScholiaQ128001720MaRDI QIDQ3299010
Marko A. Rojas-Medar, José Luiz Boldrini, Exequiel Mallea-Zepeda
Publication date: 17 July 2020
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219199719500317
Control/observation systems governed by partial differential equations (93C20) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Existence theories for optimal control problems involving partial differential equations (49J20) Weak solutions to PDEs (35D30) Flow control and optimization for incompressible inviscid fluids (76B75) PDEs in connection with control and optimization (35Q93)
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The optimal start control problem for 2D Boussinesq equations, A 3D non-stationary Boussinesq system with Navier-slip boundary conditions
Cites Work
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- Extremum problems of boundary control for steady equations of thermal convection
- Joseph Boussinesq and his approximation: a contemporary view
- Stability of optimal controls for the stationary Boussinesq equations
- 2D density-dependent Leray problem with a discontinuous density
- Finite element approximation of incompressible Navier-Stokes equations with slip boundary condition
- On the existence and uniqueness of the stationary solution to the equations of natural convection
- On a boundary value problem for a stationary system of Navier-Stokes equations
- Regularity and stability for the mathematical programming problem in Banach spaces
- Solvability of stationary boundary control problems for heat convection equations
- Solvability of a boundary problem of motion of an inhomogeneous fluid
- On a distributed control problem for a coupled chemotaxis-fluid model
- Boundary control problem for heat convection equations with slip boundary condition
- Stationary solution of the Navier-Stokes equations in a \(2d\) bounded domain for incompressible flow with discontinuous density
- Optimal control problems for the two dimensional Rayleigh-Bénard type convection by a gradient method
- An optimal control problem for the steady nonhomogeneous asymmetric fluids
- \(L^p\)-theory for Stokes and Navier-Stokes equations with Navier boundary condition
- Some remarks on the boundary conditions in the theory of Navier-Stokes equations
- Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions
- Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish
- A semi-smooth Newton method for control constrained boundary optimal control of the Navier-Stokes equations
- A Distributed Control Problem for Two Coupled Fluids in a Porous Medium
- Heat Convection Equation with Nonhomogeneous Boundary Condition
- Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
- Existence and uniqueness theorems for a steady thermo-diffusive mixture in a mixed problem
- Necessary Conditions for Distributed Control Problems Governed by Parabolic Variational Inequalities
- Some optimal control problems of multistate equations appearing in fluid mechanics
- On the existence and uniqueness of the stationary solution to equations of natural convection with boundary data in L 2
- Analysis of Neumann Boundary Optimal Control Problems for the Stationary Boussinesq Equations Including Solid Media
- FINITE ELEMENT APPROXIMATION AND COMPUTATIONS OF OPTIMAL DIRICHLET BOUNDARY CONTROL PROBLEMS FOR THE BOUSSINESQ EQUATIONS
- Optimal Control in Some Variational Inequalities
- Fluid Dynamics of Mixtures of Incompressible Miscible Liquids
- Necessary conditions for nonconvex distributed control problems governed by elliptic variational inequalities
- On the roughness-induced effective boundary conditions for an incompressible viscous flow
- Optimal boundary control of steady-state flow of a viscous inhomogeneous incompressible fluid
