Stability Estimates of Optimal Solutions for the Steady Magnetohydrodynamics-Boussinesq Equations
Gennadii Alekseev,
Yuliya Spivak
Abstract:This paper develops the mathematical apparatus of studying control problems for the stationary model of magnetic hydrodynamics of viscous heat-conducting fluid in the Boussinesq approximation. These problems are formulated as problems of conditional minimization of special cost functionals by weak solutions of the original boundary value problem. The model under consideration consists of the Navier–Stokes equations, the Maxwell equations without displacement currents, the generalized Ohm’s law for a moving med… Show more
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