Analysis of control problems for stationary magnetohydrodynamics equations under the mixed boundary conditions for a magnetic field

G Alekseev - Mathematics, 2023 - mdpi.com
The optimal control problems for stationary magnetohydrodynamic equations under the
inhomogeneous mixed boundary conditions for a magnetic field and the Dirichlet condition …

Mixed boundary value problems for stationary magnetohydrodynamic equations of a viscous heat-conducting fluid

G Alekseev - Journal of Mathematical Fluid Mechanics, 2016 - Springer
We consider the boundary value problem for stationary magnetohydrodynamic equations of
electrically and heat conducting fluid under inhomogeneous mixed boundary conditions for …

Stability Estimates of Optimal Solutions for the Steady Magnetohydrodynamics-Boussinesq Equations

G Alekseev, Y Spivak - Mathematics, 2024 - mdpi.com
This paper develops the mathematical apparatus of studying control problems for the
stationary model of magnetic hydrodynamics of viscous heat-conducting fluid in the …

Mixed boundary value problems for steady-state magnetohydrodynamic equations of viscous incompressible fluid

GV Alekseev - Computational Mathematics and Mathematical Physics, 2016 - Springer
The inhomogeneous boundary value problem for the steady-state magnetohydrodynamic
equations of viscous incompressible fluid under the Dirichlet conditions for the velocity and …

Solvability analysis of a mixed boundary value problem for stationary magnetohydrodynamic equations of a viscous incompressible fluid

G Alekseev, RV Brizitskii - Symmetry, 2021 - mdpi.com
We investigate the boundary value problem for steady-state magnetohydrodynamic (MHD)
equations with inhomogeneous mixed boundary conditions for a velocity vector, given the …

Solvability of an inhomogeneous boundary value problem for the stationary magnetohydrodynamic equations for a viscous incompressible fluid

GV Alekseev - Differential Equations, 2016 - Springer
We study an inhomogeneous boundary value problem for the stationary
magnetohydrodynamic equations for a viscous incompressible fluid corresponding to the …

Boundary Value and Control Problems for the Stationary Magnetic Hydrodynamic Equations of Heat Conducting Fluid with Variable Coefficients

RV Brizitskii - Journal of Dynamical and Control Systems, 2024 - Springer
The global solvability and local uniqueness of boundary value problem's solutions for
stationary magnetic hydrodynamic equations for heat conducting fluid with variable …

Boundary control problems for the stationary magnetic hydrodynamic equations in the domain with non-ideal boundary

GV Alekseev, RV Brizitskii - Journal of Dynamical and Control Systems, 2020 - Springer
Boundary control problems for a stationary model of magnetohydrodynamics of a viscous
incompressible fluid are considered in a domain with non-ideal boundary. The role of the …

Смешанные краевые задачи для стационарных уравнений магнитной гидродинамики вязкой несжимаемой жидкости

ГВ Алексеев - Журнал вычислительной математики и …, 2016 - mathnet.ru
Исследуется неоднородная краевая задача для стационарных уравнений магнитной
гидродинамики вязкой несжимаемой жидкости, рассматриваемых при условии Дирихле …

[PDF][PDF] Existence and uniqueness of very weak solution of the MHD type system.

Y Zeng - Discrete & Continuous Dynamical Systems: Series A, 2020 - researchgate.net
This paper studies the very weak solution to the steady MHD type system in a bounded
domain. We prove the existence of very weak solutions to the MHD type system for arbitrary …