Results 41 to 50 of about 1,753 (93)

Asymptotic analysis of Leray solution for the incompressible NSE with damping

Demonstratio Mathematica
In 2008, Cai and Jiu showed that the Cauchy problem of the Navier-Stokes equations, with damping α∣u∣β−1u\alpha {| u| }^{\beta -1}u for α>0\alpha \gt 0 and β≥1\beta \ge 1 has global weak solutions in L2(R3){L}^{2}\left({{\mathbb{R}}}^{3}).
Blel Mongi, Benameur Jamel
doaj   +1 more source

Global Weak Solutions of the Navier-Stokes Equations with Nonhomogeneous Boundary Data and Divergence

, 2011
Consider a smooth bounded domain Ω ⊆ R with boundary ∂Ω, a time interval [0, T ), 0 < T ≤ ∞, and the Navier-Stokes system in [0, T )×Ω, with initial value u0 ∈ Lσ(Ω) and external force f = divF , F ∈ L(0, T ;L(Ω)).
R. Farwig, H. Kozono, H. Sohr
semanticscholar   +1 more source

Analysis of the boundary symbol for the two-phase Navier-Stokes equations with surface tension

, 2009
The two-phase free boundary value problem for the NavierStokes system is considered in a situation where the initial interface is close to a halfplane. We extract the boundary symbol which is crucial for the dynamics of the free boundary and present an ...
J. Prüss, G. Simonett
semanticscholar   +1 more source

Spectral properties of the linearized semigroup of the compressible Navier-stokes equation on a periodic layer

, 2014
The linearized problem for the compressible Navier–Stokes equation around a given constant state is considered in a periodic layer of R with n ≥ 2, and spectral properties of the linearized semigroup are investigated.
Y. Kagei, Naoki Makio
semanticscholar   +1 more source

Attractors for a deconvolution model of turbulence [PDF]

arXiv, 2008
We consider a deconvolution model for 3D periodic flows. We show the existence of a global attractor for the model.
arxiv  

On an Oberbeck-Boussinesq model relating to the motion of a viscous fluid subject to heating

Open Mathematics
This article surveys some results in the study of Iannelli [Su un modello di Oberbeck-Boussinesq relativo al moto di un fluido viscoso soggetto a riscaldamento, Fisica Matematica, Istituto Lombardo (rend.
Iannelli Angela
doaj   +1 more source

A novel approach of the conformal mappings with applications in biotribology

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In this paper, the flow of an incompressible non Newtonian fluid between two eccentric cylinders is considered. The aim of this study is to determine the flow in the case of the stationary movement of some viscous fluids between two eccentric cylinders ...
Florea Olivia
doaj   +1 more source

Internal stabilization of the Oseen-Stokes equations by Stratonovich noise [PDF]

arXiv, 2011
One designs an internal Stratonovich noise feedback controller which exponentially stabilizes the staedy state solutions to Oseen-Stokes equations.
arxiv  

Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited [PDF]

arXiv, 2013
This note provides a deeper understanding of the main results obtained in the author's 2007 DPDE paper \cite{Xiao}.
arxiv  

Remark on Wolf's condition for boundary regularity of Navier-Stokes equations [PDF]

arXiv, 2015
We prove Wolf's regularity condition up to the boundary for solutions to the Navier-Stokes equations satisfying non-slip boundary condition.
arxiv