Global inviscid limit of 2D, stationary Navier-Stokes and stability of Prandtl expansions
Forum of Mathematics, PiIn this work, we establish the convergence of 2D, stationary Navier-Stokes flows with viscosity $\varepsilon> 0$ , $(u^\varepsilon , v^\varepsilon )$ to the classical Prandtl boundary layer, $(\bar {u}_p, \bar {v}_p)$ , posed on the ...
Sameer Iyer, Nader Masmoudi
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Spectral Analysis of the Incompressible Viscous Rayleigh–Taylor System in R3
, 2022 International audienceThe linear instability study of the viscous Rayleigh-Taylor model in the neighborhood of a laminar smooth increasing density profile ρ 0 (x 3) amounts to the study of the following ordinary differential equation of order 4 − λ 2 [ρ ...
Lafitte, Olivier, Nguyễn, Tiến-Tài
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© Hindawi Publishing Corp. STAGNATION-POINT FLOW OF THE WALTERS ’ B ’ FLUID WITH SLIP
, 2004 The steady two-dimensional stagnation point flow of a non-Newtonian Walters ’ B ’ fluid with slip is studied. The fluid impinges on the wall either orthogonally or obliquely. A finite difference technique is employed to obtain solutions. 2000 Mathematics
F. Labropulu, M. Chinichian, I. Husain
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, 2002 The purpose of this paper is to present an indirect boundary integral method for the oscillatory Stokes flow provided by the translational oscillations of two rigid spheres in an incompressible Newtonian fluid of infinite expanse.
Mirela Kohr
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On the regularity of weak solutions of the Boussinesq equations in Besov spaces
, 2019 The main issue addressed in this paper concerns an extension of a result by Z. Zhang who proved, in the context of the homogeneous Besov spaceḂ −1 ∞,∞ (R 3), that, if the solution of the Boussinesq equation (1.1) below (starting with an initial data in H
Thera, Michel +4 more
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Numerical simulation of a flow past an elliptic cylinder at moderately high Reynolds numbers
, 2020 In this paper we analyze a two-dimensional laminar flow past an elliptic cylinder in case the major axis is parallel to the flow. Attention is limited in high speed regions under a subcritical condition, using a potential function of series type ...
Daisuke Akita, Yoshihiro Mochimaru
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Second-order convergence of a projection scheme for the incompressible Navier-Stokes equations with boundaries [PDF]
, 1993 . A rigorous convergence result is given for a projection scheme for the Navier-Stokes equations in the presence of boundaries. The numerical scheme is based on a finite-difference approx-imation, and the pressure is chosen so that the computed velocity ...
Hou, Thomas Y. +3 more
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Two-Level Finite Element Iterative Algorithm Based on Stabilized Method for the Stationary Incompressible Magnetohydrodynamics. [PDF]
Entropy (Basel), 2022 Tang Q, Hou M, Xiao Y, Yin L.
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MHD Pulsatile Flow through a Porous Medium
Journal of Applied Fluid Mechanics, 2014 This paper develops a mathematical model with an aim to compute the analytic solution for the MHD pulsatile flow driven by an unsteady pressure gradient between permeable beds of a viscous incompressible Newtonian fluid saturated porous medium.
Rajnish Kumar, B.G. Prasad
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A Computational Study of Blood Flow Dynamics in the Pulmonary Arteries. [PDF]
Vietnam J Math, 2023 Marcinno' F +4 more
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