Results 61 to 70 of about 18,092 (161)

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  

Advanced Thick FGM Plate–Cylindrical Shells in Supersonic Air Flow by Navier–Stokes Equation Analytical–Numerical Flow Model

Computation
The thermal vibrations of a thick-walled functionally graded material (FGM) plate–cylindrical shells in unsteady supersonic flow with a Navier–Stokes equation analytical–numerical flow model and third-order shear deformation theory (TSDT) displacement ...
Chih-Chiang Hong
doaj   +1 more source

Rheology of compressible and density-variable Newtonian flows: non-Stokes hypothesis and ‘volume diffusion’

Journal of Physics Communications
Stokes’ hypothesis allows for the frequent neglect of the bulk viscosity term related to fluid dilation effects on the viscous stress tensor in Newtonian flows.
S Kokou Dadzie
doaj   +1 more source

Solution to Navier-Stokes equations for turbulent channel flows

Electronic Journal of Differential Equations, 2020
In this article, we continue the work done in [11] for turbulent channel flows described by the Navier-Stokes and the Navier-Stokes-alpha equations. We study non-stationary solutions in special function spaces.
Jing Tian, Bingsheng Zhang
doaj  

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  

Asymptotic Stability for a Class of the Third-Grade Fluids Equations

Journal of Function Spaces
The third-grade fluid equations are a type of Navier–Stokes equation with perturbations, where the perturbation term is given by a third-grade fluid. This article primarily investigates the large-time behavior for a class of third-grade fluid equations ...
Juan Song, Tianli Li
doaj   +1 more source

Navier-Stokes and stochastic Navier-Stokes equations via Lagrange multipliers

Journal of Geometric Mechanics, 2019
We show that the Navier-Stokes as well as a random perturbation of this equation can be derived from a stochastic variational principle where the pressure is introduced as a Lagrange multiplier. Moreover we describe how to obtain corresponding constants of the motion.
openaire   +3 more sources

A Model of Interacting Navier-Stokes Singularities. [PDF]

Entropy (Basel), 2022
Faller H, Fery L, Geneste D, Dubrulle B.
europepmc   +1 more source

On solutions for a generalized Navier-Stokes-Fourier system fulfilling the entropy equality. [PDF]

Philos Trans A Math Phys Eng Sci, 2022
Abbatiello A, Bulíček M, Kaplický P.
europepmc   +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