A novel approach of the conformal mappings with applications in biotribology
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
A counterexample to the smoothness of the solution to an equation arising in fluid mechanics [PDF]
We analyze the equation coming from the Eulerian-Lagrangian description of fluids. We discuss a couple of ways to extend this notion to viscous fluids. The main focus of this paper is to discuss the first way, due to Constantin.
Montgomery-Smith, Stephen+1 more
core +1 more source
Asymptotic analysis of Leray solution for the incompressible NSE with damping
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
Extension of a discontinuous Galerkin finite element method to viscous rotor flow simulations [PDF]
Heavy vibratory loading of rotorcraft is relevant for many operational aspects of helicopters, such as the structural life span of (rotating) components, operational availability, the pilot's comfort, and the effectiveness of weapon targeting systems.
Boelens, O.J.+4 more
core +4 more sources
Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions
We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor.
Al Baba Hind
doaj +1 more source
Attractors for a deconvolution model of turbulence [PDF]
We consider a deconvolution model for 3D periodic flows. We show the existence of a global attractor for the model.
arxiv
Regularity criteria in weak spaces for Navier-Stokes equations in R3 [PDF]
In this paper we establish a Serrin type regularity criterion on the gradient of pressure in weak spaces for the Leray-Hopf weak solutions of the Navier-Stokes equations in R3.
arxiv
Global regularity for the 3D Navier-Stokes and the 3D Euler equations [PDF]
The article `Global regularity for the 3D Navier-Stokes and the 3D Euler equations'(arXiv:0711.2453) is withdrawn due to a serious error in the proof.
arxiv
On the a priori estimates for the Euler, the Navier-Stokes and the quasi-geostrophic equations [PDF]
We prove new \emph{a priori} estimates for the 3D Euler, the 3D Navier-Stokes and the 2D quasi-geostrophic equations by the method of similarity transforms.
arxiv
Regularity of Leray-Hopf solutions to Navier-Stokes equations [PDF]
Limit behaviors of blow up solutions for impressible Navier-Stokes equations are obtained.
arxiv