Open AccessControl problems for the stationary MHD equations under mixed boundary conditions
Author(s) -
Г. В. Алексеев,
Р. В. Бризицкий
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1268/1/012005
Subject(s) - magnetohydrodynamic drive , magnetohydrodynamics , boundary (topology) , optimal control , mathematics , boundary value problem , component (thermodynamics) , magnetic field , control (management) , mathematical analysis , control theory (sociology) , physics , mathematical optimization , computer science , thermodynamics , quantum mechanics , artificial intelligence
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.