MATHEMATICS

On the Stefan problem for a system of magnetohydrodynamic boundary layer equations with injection of a medium governed by the Ladyzhenskaya rheological law

M. A. Kisatov

Lomonosov Moscow State University

Abstract: The existence of a unique classical solution is proved for the Stefan problem arising in the study of a magnetohydrodynamic boundary layer in a viscous medium with injection of a modified medium governed by the Ladyzhenskaya rheological law.

Keywords: boundary layer in fluids, viscous medium, Ladyzhenskaya rheological law, Stefan's problem, boundary layer diffraction problem.

UDC: 517.946

Presented: V. V. Kozlov
Received: 19.10.2021
Revised: 19.10.2021
Accepted: 08.02.2022

DOI: 10.31857/S2686954322020126

 English version: Doklady Mathematics, 2022, 105:2, 102–105

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