On the dynamics of controlled magnetic Bénard problem
From MaRDI portal
Publication:6611147
DOI10.1007/s10440-024-00674-xzbMATH Open1548.35054MaRDI QIDQ6611147
Publication date: 26 September 2024
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Optimality conditions for problems involving partial differential equations (49K20) Feedback control (93B52) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence theories for optimal control problems involving partial differential equations (49J20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On 2-D Boussinesq equations for MHD convection with stratification effects
- Initial boundary value problem for two-dimensional viscous Boussinesq equations for MHD convection
- Two regularity criteria for the 3D MHD equations
- Energy equality and uniqueness of weak solutions to MHD equations in \(L^{\infty }(0,T;L^n (\Omega ))\)
- Infinite-dimensional dynamical systems in mechanics and physics.
- Existence and dimension of the attractor for the Bénard problem on channel-like domains.
- Motivation, analysis and control of the variable density Navier-Stokes equations
- Global well-posedness for the MHD-Boussinesq system with the temperature-dependent viscosity
- Pullback attractors for 2D MHD equations on time-varying domains
- The exponential attractor for the equations of thermohydraulics
- Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects
- On the regularity of weak solutions to the magnetohydrodynamic equations
- Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions
- Pullback attractors for nonautonomous 2D Bénard problem in some unbounded domains
- Some mathematical questions related to the mhd equations
- Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
- Dynamics for Controlled Navier--Stokes Systems with Distributed Controls
- Dynamics and Approximations of a Velocity Tracking Problem for the Navier--Stokes Flows with Piecewise Distributed Controls
- Pullback attractors for non-autonomous 2D MHD equations on some unbounded domains
- Time optimal control problem of the 2D MHD equations with memory
This page was built for publication: On the dynamics of controlled magnetic Bénard problem