Results 21 to 30 of about 53 (52)

Regularity Criteria for Navier-Stokes Equations with Slip Boundary Conditions on Non-flat Boundaries via Two Velocity Components

open access: yesAdvances in Nonlinear Analysis, 2019
H.-O. Bae and H.J. Choe, in a 1997 paper, established a regularity criteria for the incompressible Navier-Stokes equations in the whole space ℝ3 based on two velocity components. Recently, one of the present authors extended this result to the half-space
Veiga Hugo Beirão da, Yang Jiaqi
doaj   +1 more source

Two-layer-atmospheric blocking in a medium with high nonlinearity and lateral dispersion

open access: yesResults in Physics, 2018
Herein, the extended coupled Kadomtsev–Petviashvili equation (CKPE) with lateral dispersion is investigated for studying the atmospheric blocking in two layers.
M.S. Osman   +2 more
doaj   +1 more source

Modelling of the Czochralski flow

open access: yesAbstract and Applied Analysis, Volume 3, Issue 1-2, Page 1-40, 1998., 1998
The Czochralski method of the industrial production of a silicon single crystal consists of pulling up the single crystal from the silicon melt. The flow of the melt during the production is called the Czochralski flow. The mathematical description of the flow consists of a coupled system of six P.D.E.
Jan Franc
wiley   +1 more source

Analysis of a mathematical model related to Czochralski crystal growth

open access: yesAbstract and Applied Analysis, Volume 3, Issue 3-4, Page 319-342, 1998., 1998
This paper is devoted to the study of a stationary problem consisting of the Boussinesq approximation of the Navier–Stokes equations and two convection–diffusion equations for the temperature and concentration, respectively. The equations are considered in 3D and a velocity–pressure formulation of the Navier–Stokes equations is used.
Petr Knobloch, Lutz Tobiska
wiley   +1 more source

Shear‐free boundary in Stokes flow

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 145-150, 1996., 1996
A theorem of Harper for axially symmetric flow past a sphere which is a stream surface, and is also shear‐free, is extended to flow past a doubly‐body 𝔅 consisting of two unequal, orthogonally intersecting spheres. Several illustrative examples are given. An analogue of Faxen′s law for a double‐body is observed.
D. Palaniappan   +2 more
wiley   +1 more source

Arbitrary squeeze flow between two disks

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 779-782, 1994., 1992
A viscous incompressible fluid is contained between two parallel disks with arbitrarily shrinking width h(τ). The solution is obtained as a power series in a single nondimensional parameter (squeeze number) S, for small values of S in contrast to the multifold series solution obtained by Ishizawa in terms of an infinite set of nondimensional parameters.
R. Rukmani, R. Usha
wiley   +1 more source

Eigenvalues of the time—dependent fluid flow problem I

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 1, Page 139-144, 1990., 1988
The direct and inverse boundary value problems for the linear unsteady viscous fluid flow through a closed conduit of a circular annular cross‐section Ω with arbitrary time‐dependent pressure gradient under the third boundary conditions have been investigated.
El-Sayed M. Zayed   +1 more
wiley   +1 more source

Results on existence for generalized nD Navier-Stokes equations

open access: yesOpen Mathematics, 2019
In this paper we consider a class of nD Navier-Stokes equations of Kirchhoff type and prove the global existence of solutions by using a new approach introduced in [Jday R., Zennir Kh., Georgiev S.G., Existence and smoothness for new class of n ...
Zennir Khaled
doaj   +1 more source

Remark on Regularity Criterion for Weak Solutions to 3D Shear Thinning Fluids

open access: yesAdvances in Mathematical Physics
MSC2010 Classification: 76D05 ...
Jae-Myoung Kim
doaj   +1 more source

On a viscous two-fluid channel flow including evaporation

open access: yesOpen Mathematics, 2018
In this contribution a particular plane steady-state channel flow including evaporation effects is investigated from analytical point of view. The channel is assumed to be horizontal.
Socolowsky Jürgen
doaj   +1 more source

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