Results 31 to 40 of about 1,289,587 (195)

Recasting Navier–Stokes equations

open access: yesJournal of Physics Communications, 2019
Abstract Classical Navier–Stokes equations fail to describe some flows in both the compressible and incompressible configurations. In this article, we propose a new methodology based on transforming the fluid mass velocity vector field to obtain a new class of continuum models.
M H Lakshminarayana Reddy   +4 more
openaire   +3 more sources

Navier–Stokes equations, the algebraic aspect [PDF]

open access: yesTheoretical and Mathematical Physics, 2021
Analysis of the Navier-Stokes equations in the frames of the algebraic approach to systems of partial differential equations (formal theory of differential equations) is presented.
openaire   +2 more sources

Proper general decomposition (PGD) for the resolution of Navier–Stokes equations [PDF]

open access: yes, 2011
In this work, the PGD method will be considered for solving some problems of fluid mechanics by looking for the solution as a sum of tensor product functions. In the first stage, the equations of Stokes and Burgers will be solved. Then, we will solve the
ALLERY, Cyrille   +5 more
core   +1 more source

Splitting method and the existence of a strong solution of the Navier-Stokes equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
In the author’s article from the previous issue of the journal from the properties of the ONS solutions the relation between pressure and module square of velocity vector is set.
A.Sh. Akysh (Akishev)
doaj   +1 more source

On Unique Continuation for Navier-Stokes Equations

open access: yesAbstract and Applied Analysis, 2015
We study the unique continuation properties of solutions of the Navier-Stokes equations. We take advantage of rotation transformation of the Navier-Stokes equations to prove the “logarithmic convexity” of certain quantities, which measure the suitable ...
Zhiwen Duan, Shuxia Han, Peipei Sun
doaj   +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

Discontinuous Galerkin methods for computational aerodynamics - 3D adaptive flow simulation with the DLR PADGE code [PDF]

open access: yes, 2010
Over the last years, the discontinuous Galerkin method (DGM) has demonstrated its excellence in accurate, high-order numerical simulations for a wide range of applications in computational physics.
Ralf Hartmann   +6 more
core   +1 more source

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

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

Numerical simulation method for time-domain fractional incompressible Navier-Stokes equations based on PINN

open access: yesXibei Gongye Daxue Xuebao
In view of the problem that the traditional integer-order Navier-Stokes equations are difficult to accurately characterize the non-local characteristics and memory effects of the flow field when describing complex flow pheno-mena such as non-Newtonian ...
LIN Jiazhe   +3 more
doaj   +1 more source

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