Existence of a solution to the steady Magnetohydrodynamics‐Boussinesq system with mixed boundary conditions

T Kim - Mathematical Methods in the Applied Sciences, 2022 - Wiley Online Library
In this paper, we are concerned with the steady magnetohydrodynamics (MHD)‐Boussinesq
system with mixed boundary conditions. The boundary conditions for fluid may include the …

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 …

[HTML][HTML] Solvability of the boundary value problem for stationary magnetohydrodynamic equations under mixed boundary conditions for the magnetic field

G Alekseev, R Brizitskii - Applied Mathematics Letters, 2014 - Elsevier
Solvability of the boundary value problem for stationary magnetohydrodynamic equations under
mixed boundary conditions for the magnetic field - ScienceDirect Skip to main contentSkip to …

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 …

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 …

A distributed control approach for the boundary optimal control of the steady MHD equations

G Bornia, M Gunzburger, S Manservisi - … In Computational Physics, 2013 - cambridge.org
A new approach is presented for the boundary optimal control of the MHD equations in
which the boundary control problem is transformed into an extended distributed control …

Solvability of the inhomogeneous mixed boundary value problem for stationary magnetohydrodynamic equations

GV Alekseev, RV Brizitskii, VV Pukhnachev - Doklady Physics, 2014 - Springer
Solvability of the Inhomogeneous Mixed Boundary Value Problem for Stationary
Magnetohydrodynamic Equations Page 1 ISSN 1028 3358, Doklady Physics, 2014, Vol. 59 …