Boundary control problem for heat convection equations with slip boundary condition
From MaRDI portal
Publication:1721451
DOI10.1155/2018/7959761zbMath1427.49025OpenAlexW2789361124MaRDI QIDQ1721451
Elvis Valero, Exequiel Mallea-Zepeda, Eber Lenes
Publication date: 8 February 2019
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2018/7959761
Optimality conditions for problems involving partial differential equations (49K20) PDEs in connection with fluid mechanics (35Q35) Flow control and optimization for incompressible viscous fluids (76D55) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
Related Items
On the boundary value problem for a model of nonisothermal flows of a non-Newtonian fluid, The optimal start control problem for 2D Boussinesq equations, Heuristic determination of resolving controls for exact and approximate controllability of nonlinear dynamic systems, Optimal boundary control for the stationary Boussinesq equations with variable density, Optimal boundary control of the Boussinesq approximation for polymeric fluids, A 3D non-stationary Boussinesq system with Navier-slip boundary conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A boundary control problem for micropolar fluids
- Extremum problems of boundary control for steady equations of thermal convection
- Stability of optimal controls for the stationary Boussinesq equations
- A hydrodynamic model of a chemically active fluid
- 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
- Optimization problems for the Navier-Stokes equations with regular boundary controls
- On the Rayleigh-Bénard-Marangoni system and a related optimal control problem
- 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
- A semi-smooth Newton method for control constrained boundary optimal control of the Navier-Stokes equations
- On the Nonhomogeneous Navier--Stokes System with Navier Friction Boundary Conditions
- Heat Convection Equation with Nonhomogeneous Boundary Condition
- On the asymptotic behaviour of the 2D Navier-Stokes equations with Navier friction conditions towards Euler equations
- Existence and uniqueness theorems for a steady thermo-diffusive mixture in a mixed problem
- First and second order sufficient optimality conditions in mathematical programming and optimal control
- 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
- Perspectives in Flow Control and Optimization
- FINITE ELEMENT APPROXIMATION AND COMPUTATIONS OF OPTIMAL DIRICHLET BOUNDARY CONTROL PROBLEMS FOR THE BOUSSINESQ EQUATIONS
- On the Inviscid Limit for Two-Dimensional Incompressible Flow with Navier Friction Condition
- On the roughness-induced effective boundary conditions for an incompressible viscous flow
