Identification problem for a stationary magnetohydrodynamic model of a viscous heat-conducting fluid

Abstract

An identification problem for the stationary magnetohydrodynamic (MHD) equations governing a viscous heat-conducting fluid with inhomogeneous boundary conditions for the velocity, electromagnetic field, and temperature is stated and analyzed. The solvability of the problem is proved, an optimality system is derived, and sufficient conditions on the initial data are established that ensure the uniqueness and stability of the solution.