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Abstract <p> We study a boundary value problem for stationary equations of magnetohydrodynamics ofa viscous heat-conducting fluid with variable coefficients considered under the Dirichlet conditionfor the velocity and mixed boundary conditions for the electromagnetic field and temperature.Sufficient conditions on the problem data providing the global solvability of the problem and thelocal stability of its solution are established.</p>

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Correctness Analysis of a Boundary Value Problem for Stationary Magnetohydrodynamics Equations with Variable Coefficients

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • G. V. Alekseev,
  • Yu. E. Spivak

摘要

Abstract

We study a boundary value problem for stationary equations of magnetohydrodynamics ofa viscous heat-conducting fluid with variable coefficients considered under the Dirichlet conditionfor the velocity and mixed boundary conditions for the electromagnetic field and temperature.Sufficient conditions on the problem data providing the global solvability of the problem and thelocal stability of its solution are established.