On the behavior of solutions of the Prandtl system for a Ladyzhenskaya viscous MHD medium in the flow through a confuser

DOI10.1134/S1064562422020089zbMath1504.35297MaRDI QIDQ2155324

R. R. Bulatova

Publication date: 15 July 2022

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

zbMATH Keywords

asymptotics of solutionsPrandtl boundary layerconfuserLadyzhenskaya rheological law

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Asymptotic expansions of solutions to PDEs (35C20) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• Existence and uniqueness theorems for the two-dimensional Ericksen-Leslie system
• Existence and uniqueness theorems in two-dimensional nematodynamics. Finite speed of propagation
• On the rate of convergence of solutions to the Prandtl equations in a rapidly oscillating magnetic field
• Equations of boundary layer for a generalized Newtonian medium near a critical point
• On an unsteady boundary layer of a viscous rheologically complex fluid
• Equations of the boundary layer for a modified Navier-Stokes system
• Equations of symmetric boundary layer for the Ladyzhenskaya model of a viscous medium in the Crocco variables
• System of boundary layer equations for a rheologically complicated medium: Crocco variables
• Nematodynamics and random homogenization

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