Book ChapterDOI
On properties of steady viscous incompressible fluid flows
K. I. Babenko
- pp 12-42
About:
The article was published on 1980-01-01. It has received 6 citations till now. The article focuses on the topics: Pressure-correction method & No-slip condition.read more
Citations
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Book ChapterDOI
Open problems in the theory of the Navier-Stokes equations for viscous incompressible flow
Journal ArticleDOI
On Bifurcating Time-Periodic Flow of a Navier-Stokes Liquid past a Cylinder
TL;DR: In this paper, the Navier-Stokes problem can be formulated as a coupled elliptic-parabolic nonlinear system in appropriate function spaces, and sufficient conditions for branching out of a time-periodic family of solutions from steady-state solutions to the two-dimensional NavierStokes equations in the exterior of a cylinder are provided.
A Time-Periodic Bifurcation Theorem and its Application to Navier-Stokes Flow Past an Obstacle (Mathematical Analysis of Viscous Incompressible Fluid)
TL;DR: In this paper, an abstract time-periodic bifurcation theorem in Banach spaces is presented, where the original evolution equation is split into two different coupled equations, one for the time-average of the sought solution and the other for the "purely periodic" component.
References
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Journal Article
Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'Hydrodynamique.
Journal ArticleDOI
Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder
Ian Proudman,J. R. A. Pearson +1 more
TL;DR: In this paper, the Navier-Stokes equation is replaced by a set of differential equations for the coefficients ψn and Ψn, but only one set of physical boundary conditions is applicable to each expansion (the no-slip conditions for the Stokes expansion, and the uniform-stream condition for the Oseen expansion).
Journal ArticleDOI
On the completeness of the eigenfunctions of some classes of non-selfadjoint linear operators
Journal ArticleDOI