Global Controllability of the Boussinesq System with Navier-Slip-with-Friction and Robin Boundary Conditions
DOI10.1137/21M1425566OpenAlexW4353068221MaRDI QIDQ5883162
Kévin Le Balc'h, José Lucas F. MacHado, Diego A. Souza, Enrique Fernández-Cara, Felipe Wallison Chaves-Silva
Publication date: 29 March 2023
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1425566
boundary layersBoussinesq systemglobal Carleman inequalitiesglobal controllabilityNavier-slip-with-friction boundary conditions
Controllability (93B05) PDEs in connection with fluid mechanics (35Q35) Nonlinear systems in control theory (93C10) Flow control and optimization for incompressible viscous fluids (76D55)
Cites Work
- Unnamed Item
- Unnamed Item
- Boundary controllability of incompressible Euler fluids with Boussinesq heat effects
- A result concerning the global approximate controllability of the Navier-Stokes system in dimension 3
- Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions
- Remarks on local controllability for the Boussinesq system with Navier boundary condition
- Behaviour at time t=0 of the solutions of semi-linear evolution equations
- Global asymptotic stabilization for controllable systems without drift
- Global Carleman estimates for weak solutions of elliptic nonhomogeneous Dirichlet problems
- Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
- On the controllability of 2-D incompressible perfect fluids
- Local controllability of the \(N\)-dimensional Boussinesq system with \(N - 1\) scalar controls in an arbitrary control domain
- Smooth controllability of the Navier-Stokes equation with Navier conditions: application to Lagrangian controllability
- Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions
- Small time global null controllability for a viscous Burgers' equation despite the presence of a boundary layer
- Local exact controllability to the trajectories of the Boussinesq system
- Elements of the analysis for the study of certain models of turbulence of viscous incompressible fluids.
- Local exact controllability to the trajectories of the Boussinesq system via a fictitious control on the divergence equation
- On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions
- Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions
- Some Controllability Results forthe N-Dimensional Navier--Stokes and Boussinesq systems with N-1 scalar controls
- Local exact controllability for the 2-D Boussinesq equations with the Navier slip boundary conditions
- Local Exact Boundary Controllability of the Boussinesq Equation
- Exact controllability of the Navier-Stokes and Boussinesq equations
- Exact boundary controllability of 3-D Euler equation
- On the Inviscid Limit for Two-Dimensional Incompressible Flow with Navier Friction Condition
This page was built for publication: Global Controllability of the Boussinesq System with Navier-Slip-with-Friction and Robin Boundary Conditions
