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

DOI10.1134/S1064562422020120zbMath1506.76208OpenAlexW4286652293WikidataQ114847297 ScholiaQ114847297MaRDI QIDQ2155332

A. M. Kisatov

Publication date: 15 July 2022

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562422020120

zbMATH Keywords

weak solutionexistenceStefan problemviscous non-Newtonian Ladyzhenskaya fluid

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Magnetohydrodynamics and electrohydrodynamics (76W05) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Cites Work

• Percolation of the boundary layer of a Newtonian fluid through a perforated obstacle
• Equations of magnetohydrodynamic boundary layer with an injection of a dilatable medium
• Stefan-like problems
• Equations of magnetohydrodynamic boundary layer for a modified incompressible viscous medium. boundary layer separation
• Equations of the boundary layer for a modified Navier-Stokes system
• Homogenization of stratified dilatant fluid
• Mathematical questions of boundary layer control by using suction
• Nematodynamics and random homogenization
• On the injection of an electrically-conducting liquid or gas into a boundary layer in the presence of a magnetic field
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