Results 11 to 20 of about 1,740 (77)

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

Global existence of a radiative Euler system coupled to an electromagnetic field

open access: yesAdvances in Nonlinear Analysis, 2018
We study the Cauchy problem for a system of equations corresponding to a singular limit of radiative hydrodynamics, namely, the 3D radiative compressible Euler system coupled to an electromagnetic field.
Blanc Xavier   +2 more
doaj   +1 more source

Asymptotic study of Leray solution of 3D-Navier-Stokes equations with exponential damping

open access: yesDemonstratio Mathematica, 2023
We study the uniqueness, the continuity in L2{L}^{2}, and the large time decay for the Leray solutions of the 3D incompressible Navier-Stokes equations with the nonlinear exponential damping term a(eb∣u∣2−1)ua\left({e}^{b| u{| }^{{\bf{2}}}}-1)u, (a,b>0a ...
Blel Mongi, Benameur Jamel
doaj   +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

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

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 Data Assimilation Algorithm for the Subcritical Surface Quasi-Geostrophic Equation

open access: yesAdvanced Nonlinear Studies, 2017
In this article, we prove that data assimilation by feedback nudging can be achieved for the three-dimensional quasi-geostrophic equation in a simplified scenario using only large spatial scale observables on the dynamical boundary.
Jolly Michael S.   +2 more
doaj   +1 more source

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