Results 51 to 60 of about 1,456 (93)

An almost sure energy inequality for Markov solutions to the 3D Navier-Stokes equations

open access: yes, 2009
We prove existence of weak martingale solutions satisfying an almost sure version of the energy inequality and which constitute a (almost sure) Markov process.Comment: Submitted for the proceedings of the conference "Stochastic partial differential ...
Romito, Marco
core   +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

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

Shear-flow transition: the basin boundary

open access: yes, 2009
The structure of the basin of attraction of a stable equilibrium point is investigated for a dynamical system (W97) often used to model transition to turbulence in shear flows.
Eckhardt B   +4 more
core   +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

POD Applied to Numerical Study of Unsteady Flow Inside Lid-driven Cavity

open access: yesJournal of Mathematical Study, 2018
Flow inside a lid-driven cavity (LDC) is studied here to elucidate bifurcation sequences of the flow at super-critical Reynolds numbers (Recr1) with the help of analyzing the time series at most energetic points in the flow domain.
Lucas Lestandi
semanticscholar   +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

Local stability of energy estimates for the Navier--Stokes equations

open access: yes, 2017
We study the regularity of the weak limit of a sequence of dissipative solutions to the Navier--Stokes equations when no assumptions is made on the behavior of the ...
Chamorro, Diego   +2 more
core   +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

A counterexample to the smoothness of the solution to an equation arising in fluid mechanics [PDF]

open access: yes, 2002
We analyze the equation coming from the Eulerian-Lagrangian description of fluids. We discuss a couple of ways to extend this notion to viscous fluids. The main focus of this paper is to discuss the first way, due to Constantin.
Montgomery-Smith, Stephen   +1 more
core   +1 more source

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