Search results for " flows"
showing 10 items of 110 documents
The Mean-Field Limit for Solid Particles in a Navier-Stokes Flow
2008
We propose a mathematical derivation of Brinkman's force for a cloud of particles immersed in an incompressible viscous fluid. Specifically, we consider the Stokes or steady Navier-Stokes equations in a bounded domain Omega subset of R-3 for the velocity field u of an incompressible fluid with kinematic viscosity v and density 1. Brinkman's force consists of a source term 6 pi rvj where j is the current density of the particles, and of a friction term 6 pi vpu where rho is the number density of particles. These additional terms in the motion equation for the fluid are obtained from the Stokes or steady Navier-Stokes equations set in Omega minus the disjoint union of N balls of radius epsilo…
THE MULTIPLE COUNTING OF TOURISTS IN SICILY AND THE ANALYSIS OF INTRA-REGIONAL TOURIST FLOWS
2008
Tourist arrivals are often wrongly interpreted as the number of tourists. The non-agreement between arrivals and tourists (Parroco and Vaccina, 2006) produces a large overestimation of the number of tourists really present at the destinations (tourists replication), so determining heavy consequences on economic and territorial planning. In order to get a first estimate of replications and to analyse the typical tourist tours throughout Sicily, in summer 2005 a census research was made on 8.883 tourists intercepted at 13 hotels in Cefalù, a well-known bathing resort in the Northern coast of Sicily (Italy).
Determinants of Italy's agri-food trade flows with the Mediterranean non-Eu partner countries
2013
The objective of this paper is to evaluate the determinants of Italy’s agri-food exports in the markets of Mediterranean non-EU partner countries and, particularly, the impact of Agreement Association signed in the Euro-Mediterranean partnership. The Mediterranean Sea situated at the crossroad of three continents, the European, the Asian and the African one, has ever been of great strategic interest for several geo-economical powers and in particular of the European Union as one of its foreign policy main protagonists. Italy as a centred Mediterranean country which is sharing agri-food production with some Mediterranean partners could profit from the EU’s relationships with the partners of …
Solutions to the 1-harmonic flow with values into a hyper-octant of the N-sphere
2013
Abstract We announce existence results for the 1-harmonic flow from a domain of R m into the first hyper-octant of the N -dimensional unit sphere, under homogeneous Neumann boundary conditions. The arguments rely on a notion of “geodesic representative” of a BV-vector field on its jump set.
THE 1-HARMONIC FLOW WITH VALUES IN A HYPEROCTANT OF THE N-SPHERE
2014
We prove the existence of solutions to the 1-harmonic flow — that is, the formal gradient flow of the total variation of a vector field with respect to the [math] -distance — from a domain of [math] into a hyperoctant of the [math] -dimensional unit sphere, [math] , under homogeneous Neumann boundary conditions. In particular, we characterize the lower-order term appearing in the Euler–Lagrange formulation in terms of the “geodesic representative” of a BV-director field on its jump set. Such characterization relies on a lower semicontinuity argument which leads to a nontrivial and nonconvex minimization problem: to find a shortest path between two points on [math] with respect to a metric w…
Unsteady Separation for High Reynolds Numbers Navier-Stokes Solutions
2010
In this paper we compute the numerical solutions of Navier-Stokes equations in the case of the two dimensional disk impulsively started in a uniform back- ground flow. We shall solve the Navier-Stokes equations (for different Reynolds numbers ranging from 1.5 · 10^3 up to 10^5 ) with a fully spectral numerical scheme. We shall give a description of unsteady separation process in terms of large and small scale interactions acting over the flow. The beginning of these interactions will be linked to the topological change of the streamwise pressure gradient on the disk. Moreover we shall see how these stages of separation are related to the complex singularities of the solution. Infact the ana…
The Influence of the Digitalisation of the Distribution Channel in the Process of Bypassing Wholesalers: The Case of a Distribution Triad
2022
• ObjectivesThe wholesaler, a traditional player in distribution, has been going through a new phase in its evolution over the last twenty years. Driven by the digitalisation of activities, upstream and downstream players are trying to bypass it and new players such as commercial platforms are appearing. In order to understand this phenomenon, this research analyses how the wholesaler manages to keep a part of the flows between the actors of the distribution channel.• MethodA qualitative analysis by individual interviews within the building materials sector highlights the appropriation of informational flows by manufacturers leading to the phenomenon of partial disintermediation which affec…
Discussion of "Hydraulic Model of Transition of Transient to Steady Flows in the Vadose Zone" by Yaguo Zhang, Tonglu Li, Wei Shen, and Yu Wang
2020
The authors wrote an interesting article dealing with a simple hydraulic model to illustrate the transition mechanism of transient to steady flows in the vadose zone. The soil behavior is described by a set of nine vertically aligned cylinders, each opened at the top and with a small outlet at the bottom. The water level dynamic of each cylinder, associated with an intermittent constant rainfall applied to the top cylinder, C0, was analyzed and numerical simulations were performed. The only objective of this discussion is to show that results similar to those proposed by the authors could be obtained by using the recently introduced Richards equation analytical solution, under gravity-drive…
Building Anosov flows on $3$–manifolds
2014
We prove a result allowing to build (transitive or non-transitive) Anosov flows on 3-manifolds by gluing together filtrating neighborhoods of hyperbolic sets. We give several applications; for example: 1. we build a 3-manifold supporting both of a transitive Anosov vector field and a non-transitive Anosov vector field; 2. for any n, we build a 3-manifold M supporting at least n pairwise different Anosov vector fields; 3. we build transitive attractors with prescribed entrance foliation; in particular, we construct some incoherent transitive attractors; 4. we build a transitive Anosov vector field admitting infinitely many pairwise non-isotopic trans- verse tori.
Additive functionals and push forward measures under Veretennikov's flow
2014
16 pages; In this work, we will be interested in the push forward measure $(\vf_t)_*\gamma$, where $\vf_t$ is defined by the stochastic differential equation \begin{equation*} d\vf_t(x)=dW_t + \ba(\vf_t(x))dt, \quad \vf_0(x)=x\in\mbR^m, \end{equation*} and $\gamma$ is the standard Gaussian measure. We will prove the existence of density under the hypothesis that the divergence $\div(\ba)$ is not a function, but a signed measure belonging to a Kato class; the density will be expressed with help of the additive functional associated to $\div(\ba)$.