Results 41 to 50 of about 63,459 (307)

Intermittency in solutions of the three-dimensional Navier-Stokes equations [PDF]

open access: yes, 2003
Published ...
Charles R. DOERING   +3 more
core   +1 more source

The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations [PDF]

open access: yesBulletin de la Société mathématique de France, 1999
In the periodic three-dimensional Navier-Stokes equations \(\partial _tu+u\cdot \nabla u-\nu \Delta u=-\nabla p, div u=0, u_{t=0}=u_0\) the initial data \(u_0\) is decomposed as \(u_0=v_0+w_0\), where \(w_0\) does not depend on the variable \(x_3 (u=u(x_1,x_2,x_3,t))\).
openaire   +2 more sources

An extension to the Navier-Stokes equations to incorporate gas molecular collisions with boundaries [PDF]

open access: yes, 2010
We investigate a model for micro-gas-flows consisting of the Navier-Stokes equations extended to include a description of molecular collisions with solid boundaries, together with first and second order velocity slip boundary conditions.
Reese, Jason M.   +6 more
core   +1 more source

Predicting airfoil stalling dynamics using upwind numerical solutions to non-viscous equations

open access: yesResults in Engineering, 2023
Over the last few decades, researchers have been focusing on determining the critical attack angle at which dynamic stall occurs. This angle is usually determined by solving the Navier-Stokes equations, which include viscosity, pressure, gravity, and ...
Tohid Adibi   +5 more
doaj   +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

Global regularity to the Navier-Stokes equations for a class of large initial data

open access: yesMathematical Modelling and Analysis, 2018
In [5], Chemin, Gallagher and Paicu proved the global regularity of solutions to the classical Navier-Stokes equations with a class of large initial data on T2 × R.
Bin Han, Yukang Chen
doaj   +1 more source

Lid-driven cavity flow using dual reciprocity [PDF]

open access: yesMATEC Web of Conferences, 2020
The paper presents the use of the multi-domain dual reciprocity method of fundamental solutions (MD-MFSDR) for the analysis of the laminar viscous flow problem described by Navier-Stokes equations.
Mužík Juraj, Bulko Roman
doaj   +1 more source

On the accuracy of difference scheme for Navier-Stokes equations

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The article presents a study of difference schemes in time, which accuracy can be arbitrarily high. We present difference schemes in time for solving the Navier-Stokes equations, where series expansions are used to find the singularities of solutions of ...
Nikolay I Sidnyaev, Nadezhda M Gordeeva
doaj   +1 more source

A Mathematically Exact and Well-Determined System of Equations to Close Reynolds-Averaged Navier–Stokes Equations

open access: yesMathematics, 2023
Since Sir Osborne Reynolds presented the Reynolds-averaged Navier–Stokes (RANS) equations in 1895, the construction of complete closure for RANS equations has been regarded as extremely challenging.
Sungmin Ryu
doaj   +1 more source

Feedback stabilization of Navier–Stokes equations [PDF]

open access: yesESAIM: Control, Optimisation and Calculus of Variations, 2003
Summary: The author proves that the steady-state solutions to Navier-Stokes equations with internal controllers are locally exponentially stabilizable by linear feedback controllers provided by an LQ control problem associated with the linearized equation.
openaire   +3 more sources

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