Results 11 to 20 of about 1,681 (56)

Existence of weak solutions for a scale similarity model of the motion of large eddies in turbulent flow

open access: yesJournal of Applied Mathematics, Volume 2003, Issue 9, Page 429-446, 2003., 2003
In turbulent flow, the normal procedure has been seeking means u¯ of the fluid velocity u rather than the velocity itself. In large eddy simulation, we use an averaging operator which allows for the separation of large‐ and small‐length scales in the flow field. The filtered field u¯ denotes the eddies of size O(δ) and larger.
Meryem Kaya
wiley   +1 more source

Analysis of a mathematical model related to Czochralski crystal growth

open access: yesAbstract and Applied Analysis, Volume 3, Issue 3-4, Page 319-342, 1998., 1998
This paper is devoted to the study of a stationary problem consisting of the Boussinesq approximation of the Navier–Stokes equations and two convection–diffusion equations for the temperature and concentration, respectively. The equations are considered in 3D and a velocity–pressure formulation of the Navier–Stokes equations is used.
Petr Knobloch, Lutz Tobiska
wiley   +1 more source

Regularity Criteria for Navier-Stokes Equations with Slip Boundary Conditions on Non-flat Boundaries via Two Velocity Components

open access: yesAdvances in Nonlinear Analysis, 2019
H.-O. Bae and H.J. Choe, in a 1997 paper, established a regularity criteria for the incompressible Navier-Stokes equations in the whole space ℝ3 based on two velocity components. Recently, one of the present authors extended this result to the half-space
Veiga Hugo Beirão da, Yang Jiaqi
doaj   +1 more source

Results on existence for generalized nD Navier-Stokes equations

open access: yesOpen Mathematics, 2019
In this paper we consider a class of nD Navier-Stokes equations of Kirchhoff type and prove the global existence of solutions by using a new approach introduced in [Jday R., Zennir Kh., Georgiev S.G., Existence and smoothness for new class of n ...
Zennir Khaled
doaj   +1 more source

Long time decay for 3D Navier-Stokes equations in Fourier-Lei-Lin spaces

open access: yesOpen Mathematics, 2021
In this paper, we study the long time decay of global solution to the 3D incompressible Navier-Stokes equations. We prove that if u∈C(R+,X−1,σ(R3))u\in {\mathcal{C}}\left({{\mathbb{R}}}^{+},{{\mathcal{X}}}^{-1,\sigma }\left({{\mathbb{R}}}^{3})) is a ...
Jlali Lotfi
doaj   +1 more source

On a viscous two-fluid channel flow including evaporation

open access: yesOpen Mathematics, 2018
In this contribution a particular plane steady-state channel flow including evaporation effects is investigated from analytical point of view. The channel is assumed to be horizontal.
Socolowsky Jürgen
doaj   +1 more source

Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space

open access: yesOpen Mathematics, 2022
In this paper, we introduce a new metric space called the mixed-norm Lebesgue space, which allows its norm decay to zero with different rates as ∣x∣→∞| x| \to \infty in different spatial directions.
Liu Yongfang, Zhu Chaosheng
doaj   +1 more source

Self-Similar Solutions with Elliptic Symmetry for the Compressible Euler and Navier-Stokes Equations in R^{N}

open access: yes, 2011
Based on Makino's solutions with radially symmetry, we extend the corresponding ones with elliptic symmetry for the compressible Euler and Navier-Stokes equations in R^{N} (N\geq2).
Yuen, Manwai
core   +1 more source

A survey on some vanishing viscosity limit results

open access: yesAdvances in Nonlinear Analysis, 2023
We present a survey concerning the convergence, as the viscosity goes to zero, of the solutions to the three-dimensional evolutionary Navier-Stokes equations to solutions of the Euler equations.
Beirão da Veiga Hugo, Crispo Francesca
doaj   +1 more source

Development of local, global, and trace estimates for the solutions of elliptic equations

open access: yes, 2001
Abstract and Applied Analysis, Volume 6, Issue 3, Page 131-150, 2001.
Moulay D. Tidriri
wiley   +1 more source

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