Results 71 to 80 of about 183,867 (177)

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
doaj   +1 more source

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  

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
doaj   +1 more source

Algorithm development [PDF]

The past decade has seen considerable activity in algorithm development for the Navier-Stokes equations. This has resulted in a wide variety of useful new techniques.
Barth, Timothy J., Lomax, Harvard
core   +1 more source

Anticipating stochastic 2 D Navier–Stokes equations

Journal of Functional Analysis, 2013
In this article, we consider the two-dimensional stochastic Navier-Stokes equation (SNSE) on a smooth bounded domain, driven by affine-linear multiplicative white noise and with random initial conditions and Dirichlet boundary conditions. The random initial condition is allowed to anticipate the forcing noise.
Zhang, Tusheng, Mohammed, Salah
openaire   +3 more sources

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
doaj  

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
doaj   +1 more source

A condition for the finite time blow up of the incompressible Navier–Stokes equations in the whole space

Results in Applied Mathematics
This paper is interested in the existence of singularities for solutions of the Navier–Stokes equations in the whole space. We demonstrate the existence of initial data that leads to the unboundedness of the corresponding strong solution within a finite ...
Abdelhafid Younsi
doaj   +1 more source

ε-Аpproximation of the temperatures model of inhomogeneous melts with allowance for energy dissipation

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
Accumulated facts and information about the Navier-Stokes equations, together with a large number of experiments and approximate calculations, made it possible to reveal some discrepancies between the mathematical model of a viscous melt and real ...
S.Sh. Kazhikenova, M.I. Ramazanov, A.A. Khairkulova, G.S. Shaikhova   +3 more
doaj   +1 more source

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.
europepmc   +1 more source