Results 21 to 30 of about 331,405 (340)

The use of dual reciprocity method for 2D laminar viscous flow [PDF]

open access: yesMATEC Web of Conferences, 2020
The paper presents the use of the dual reciprocity multidomain singular boundary method (SBMDR) for the solution of the laminar viscous flow problem described by Navier-Stokes equations.
Mužík Juraj
doaj   +1 more source

Approximations of stochastic Navier–Stokes equations [PDF]

open access: yesStochastic Processes and their Applications, 2020
In this paper we show that solutions of two-dimensional stochastic Navier-Stokes equations driven by Brownian motion can be approximated by stochastic Navier-Stokes equations forced by pure jump noise/random kicks.
Shang, Shijie, Zhang, Tusheng
openaire   +4 more sources

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 the hydrostatic approximation of compressible anisotropic Navier–Stokes equations

open access: yesComptes Rendus. Mathématique, 2021
In this work, we obtain the hydrostatic approximation by taking the small aspect ratio limit to the Navier–Stokes equations. The aspect ratio (the ratio of the depth to horizontal width) is a geometrical constraint in general large scale motions meaning ...
Gao, Hongjun   +2 more
doaj   +1 more source

Sharp nonuniqueness for the Navier–Stokes equations [PDF]

open access: yesInventiones Mathematicae, 2020
In this paper, we prove a sharp nonuniqueness result for the incompressible Navier–Stokes equations in the periodic setting. In any dimension d≥2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
A. Cheskidov, Xiao-Xia Luo
semanticscholar   +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

A finite element method for the resolution of the Reduced Navier-Stokes/Prandtl equations [PDF]

open access: yes, 2008
A finite element method to solve the bidimensional Reduced Navier-Stokes Prandtl (RNS/P) equations is described. These equations are an asymptotical simplification of the full Navier-Stokes equations, obtained when one dimension of the domain is of one ...
Azérad   +14 more
core   +4 more sources

Navier-Stokes equations with delays [PDF]

open access: yesProceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2001
Some results on the existence and uniqueness of solutions to Navier-Stokes equations when the external force contains some hereditary characteristics are proved.
Caraballo Garrido, Tomás   +1 more
openaire   +4 more sources

Existence and uniqueness of solutions for the two-dimensional Euler and Navier-Stokes equations with initial data in $ H^1 $

open access: yesAIMS Mathematics
In this paper, we consider the incompressible Euler and Navier-Stokes equations in $ \mathbb{R}^2 $. It is well known that the Euler and Navier-Stokes equations are globally well-posed for initial data in $ H^s(s > 2) $.
Shaoliang Yuan, Lin Cheng, Liangyong Lin
doaj   +1 more source

Analytical Solutions to the Navier-Stokes-Poisson Equations with Density-dependent Viscosity and with Pressure

open access: yes, 2010
We study some particular solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure, in radial symmetry. With extension of the previous known blowup solutions for the Euler-Poisson equations / pressureless Navier ...
Hei, Yeung Ling, Manwai, Yuen
core   +1 more source

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