Equations of boundary layer for a generalized Newtonian medium near a critical point

DOI10.1007/s10958-018-4024-5zbMath1405.35167OpenAlexW2889186742MaRDI QIDQ1991901

Vyacheslav N. Samokhin, Gregory A. Chechkin

Publication date: 2 November 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-4024-5

zbMATH Keywords

critical pointgeneralized Newtonian mediumnonlinear rheologic law

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Navier-Stokes equations (35Q30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (7)

On the behavior of solutions of the Prandtl system for a Ladyzhenskaya viscous MHD medium in the flow through a confuser ⋮ Nonstationary boundary layer of a fluid with the Ladyzhenskaya rheological law ⋮ On an unsteady boundary layer of a viscous rheologically complex fluid ⋮ System of equations for the Marangoni boundary layer in media with Ladyzhenskaya rheological law ⋮ 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 ⋮ On the boundary layer in the case of viscous fluid flowing around confuser with the Ladyzhenskaya rheological law

Cites Work

• On multiscale homogenization problems in boundary layer theory
• Percolation of the boundary layer of a Newtonian fluid through a perforated obstacle
• On the rate of convergence of solutions to the Prandtl equations in a rapidly oscillating magnetic field
• Boundary layer theory and the zero-viscosity limit of the Navier-Stokes equation
• Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
• Homogenization of boundary layer of pseudo-plastic fluid in the presence of rapidly oscillating external forces
• Plane scalar analog of linear degenerate hydrodynamic problem with nonperiodic microstructure of free surface
• Remarks on the Prandtl Equation for a Permeable Wall
• Boundary layers and the vanishing viscosity limit for incompressible 2D flow
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