Existence of the stationary solution of a Rayleigh-type equation

DOI10.1134/S0001434616050023zbMath1408.35118MaRDI QIDQ325504

R. K. Gaydukov, Denis I. Borisov

Publication date: 18 October 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationseigenvalue problemfluid mechanicsboundary-layer theorydouble-deck structureRayleigh-type equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

Double-deck structure in the fluid flow induced by a uniformly rotating disk with small symmetric irregularities on its surface ⋮ Double-deck structure of the boundary layer in the problem of a compressible flow along a plate with small irregularities on the surface ⋮ Double-deck structure in the problem of a compressible flow along a plate with small localized irregularities on the surface ⋮ Asymptotic multiscale solutions to Navier-Stokes equations with fast oscillating perturbations in boundary layers ⋮ Asymptotic solutions of flow problems with boundary layer of double-deck structures

Cites Work

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• Asymptotic and numerical analysis of the flow around a plate with small periodic irregularities
• Vortices in the Prandtl boundary layer induced by irregularities on a plate
• The Blasius Function: Computations Before Computers, the Value of Tricks, Undergraduate Projects, and Open Research Problems

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