Results 11 to 20 of about 1,753 (93)

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

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

On Bohr's inequality for special subclasses of stable starlike harmonic mappings

open access: yesOpen Mathematics, 2023
The focus of this article is to explore the Bohr inequality for a specific subset of harmonic starlike mappings introduced by Ghosh and Vasudevarao (Some basic properties of certain subclass of harmonic univalent functions, Complex Var. Elliptic Equ. 63 (
Jin Wei   +3 more
doaj   +1 more source

On the problem of detecting source points acting on a fluid

open access: yesDemonstratio Mathematica, 2023
The detection problem of a finite number of source points acting on a steady incompressible fluid flow from overdetermined boundary data was studied. The approach used in this study deals with the topological sensitivity technique. An asymptotic analysis
Abdelwahed Mohamed, Chorfi Nejmeddine
doaj   +1 more source

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

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

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

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

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

Time-dependent coupling of Navier–Stokes and Darcy flows

open access: yes, 2013
A weak solution of the coupling of time-dependent incompressible Navier-Stokes equa- tions with Darcy equations is defined. The interface conditions include the Beavers-Joseph-Saffman condition.
A. Çesmelioglu, V. Girault, B. Rivière
semanticscholar   +1 more source

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