Control problems for the stationary MHD equations under mixed boundary conditions-Reference-Cited by-同舟云学术

Control problems for the stationary MHD equations under mixed boundary conditions

Published:2019-07-01 Issue:1 Volume:1268 Page:012005
ISSN:1742-6588
Container-title:Journal of Physics: Conference Series
language:
Short-container-title:J. Phys.: Conf. Ser.

Author:

Alekseev Gennady,Brizitskii Roman

Abstract

Abstract The optimal control problems for the stationary magnetohydrodynamic equations under inhomogeneous mixed boundary conditions for a magnetic field are considered. The role of control in control problems under study is played by normal component of the magnetic field on the part of the boundary. The existence of optimal solution is proved and optimality system for considered extremum problem is obtained.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Link

https://iopscience.iop.org/article/10.1088/1742-6596/1268/1/012005/pdf

Reference23 articles.

1. On electromagnetically and thermally driven liquid-metal flows;Meir;Nonlinear Anal. Theor.,2001

2. Numerical simulation of liquid metal MHD flows in rectangular ducts J;Sterl;Fluid Mech.,1990

3. Boundary optimal control of MHD flows;Hou;Appl. Math. Optim.,1995

4. Control problems for the steady-state equations of magnetohydrodynamics of a viscous incompressible fluid;Alekseev;J. Appl. Mech. Tech. Phys.,2003

5. Control problems for stationary equations of magnetic hydrodynamics;Alekseev;Dokl. Math.,2004

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Optimal Dirichlet Boundary Control for the Corotational Oldroyd Model;Mathematics;2023-06-15

2. Control Problem Related to 2D Stokes Equations with Variable Density and Viscosity;Symmetry;2021-10-31