Results 71 to 80 of about 33,255 (224)

EQUATION OF CONTINUITY IN THE CYLINDRICAL COORDINATES SYSTEM

Известия высших учебных заведений: Нефть и газ, 2016
Sophisticated viscous compressible heat-conducting gases arising during heating the vertical field, have a pronounced axial symmetry. Therefore, for the numerical solution of the full Navier - Stokes equations to describe such gas flows is advisable to ...
A. G. Obukhov, N. V. Chunikhina
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Two-Level Iteration Penalty Methods for the Navier-Stokes Equations with Friction Boundary Conditions

Abstract and Applied Analysis, 2013
This paper presents two-level iteration penalty finite element methods to approximate the solution of the Navier-Stokes equations with friction boundary conditions.
Yuan Li, Rong An
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Governing equations of fluid mechanics in physical curvilinear coordinate system

Electronic Journal of Differential Equations, 1998
This paper presents the development of unsteady three-dimensional incompressible Navier-Stokes and Reynolds-averaged Navier-Stokes equations in an unsteady physical curvilinear coordinate system. It is demonstrated that the numerical simulations based on
Swungho Lee, Bharat K. Soni
doaj  

Solution of Fraction Navier–Stokes Equation Using Homotopy Analysis Method

AppliedMath
In the present study, we aimed to derive analytical solutions of the homotopy analysis method (HAM) for the time-fractional Navier–Stokes equations in cylindrical coordinates in the form of a rapidly convergent series.
Hamza Mihoubi, Awatif Muflih Alqahtani
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A Regularity Criterion for the Navier-Stokes Equations in the Multiplier Spaces

Abstract and Applied Analysis, 2012
We exhibit a regularity condition concerning the pressure gradient for the Navier-Stokes equations in a special class. It is shown that if the pressure gradient belongs to 𝐿2/(2−𝑟)̇𝐻((0,𝑇);ℳ(𝑟(ℝ3̇𝐻)→−𝑟(ℝ3))), where ̇𝐻ℳ(𝑟(ℝ3̇𝐻)→−𝑟(ℝ3)) is the multipliers ...
Xiang'ou Zhu
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Existence and regularity of solutions to the Leray-alpha model with Navier slip boundary conditions

Electronic Journal of Differential Equations, 2016
We establish the existence and regularity of a unique weak solution to turbulent flows in a bounded domain $\Omega\subset\mathbb R^3$ governed by the Leray-$\alpha$ model with Navier slip boundary condition for the velocity. Furthermore, we show that
Hani Ali, Petr Kaplicky
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Finite-time blowup for smooth solutions of the Navier--Stokes equations\n on the whole space with linear growth at infinity [PDF]

, 2021
Evan W. Miller
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The Double-Logarithmic Regularity Criterion of Pressure for the 3D Navier–Stokes Equations in the Besov Space

Journal of Mathematics
In the paper, we consider the regularity of the weak solutions for the incompressible 3D Navier–Stokes (N–S) equations. Our main result is the double-logarithmic regularity criterion of pressure for the 3D Navier–Stokes equations in the Besov space ...
Min Liu, Juan Song, Tian-Li Li
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Uniform Error Estimates of the Finite Element Method for the Navier-Stokes Equations in R2 with L² Initial Data. [PDF]

Entropy (Basel), 2023
Ren S, Wang K, Feng X.
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A stochastic Galerkin method with adaptive time-stepping for the Navier–Stokes equations

, 2022
Bedřich Sousedík, Randy Price
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