CORRECTNESS ANALYSIS OF THE BOUNDARY VALUE PROBLEM FOR STATIONARY MAGNETOHYDRODYNAMICS EQUATIONS WITH VARIABLE COEFFICIENTS

The boundary value problem for stationary equations of magnetohydrodynamics of viscous heatconducting fluid with variable coefficients considered under the Dirichlet condition for velocity and mixed boundary conditions for electromagnetic field and temperature is studied. Sufficient conditions on the initial data, providing global solvability of the mentioned problem and local stability of its solution, are established.

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Publication Details

Journal
Дифференциальные уравнения / Differential Equations
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034503025040049
Primary Topic
Differential Equations and Numerical Methods
Type
article
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article

CORRECTNESS ANALYSIS OF THE BOUNDARY VALUE PROBLEM FOR STATIONARY MAGNETOHYDRODYNAMICS EQUATIONS WITH VARIABLE COEFFICIENTS

Г. В. Алексеев
Дифференциальные уравнения / Differential Equations
Differential Equations and Numerical Methods
article

CORRECTNESS ANALYSIS OF THE BOUNDARY VALUE PROBLEM FOR STATIONARY MAGNETOHYDRODYNAMICS EQUATIONS WITH VARIABLE COEFFICIENTS

Г. В. Алексеев
article en

Abstract

The boundary value problem for stationary equations of magnetohydrodynamics of viscous heatconducting fluid with variable coefficients considered under the Dirichlet condition for velocity and mixed boundary conditions for electromagnetic field and temperature is studied. Sufficient conditions on the initial data, providing global solvability of the mentioned problem and local stability of its solution, are established.

Дифференциальные уравнения / Differential EquationsVol. 61(4)
Openalex Percentile: Top 60%
Differential Equations and Numerical Methods
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