Fluid connections

A Fluid Model for Aggregate TCP Connections

It is well known that the large majority (more than 90%) of IP traffic on the Internet is today carried by TCP connections. Moreover, it is quite realistic to suppose that the largest part of best effort traffic will use TCP also in the future. So, this protocol is and will be a fundamental element for the evaluation and forecast of IP network performance. TCP has been studied for many years, a...

Connections between a Conjecture of Schiffer’s and Incompressible Fluid Mechanics

We demonstrate connections that exists between a conjecture of Schiffer’s (which is equivalent to a positive answer to the Pompeiu problem), stationary solutions to the Euler equations, and the convergence of solutions to the Navier-Stokes equations to that of the Euler equations in the limit as viscosity vanishes. We say that a domain Ω ⊆ R, d ≥ 2, has the Pompeiu property if, given that the i...

Regular Connections among Generalized Connections

The properties of the space A of regular connections as a subset of the space A of generalized connections in the Ashtekar framework are studied. For every choice of compact structure group and smoothness category for the paths it is determined whether A is dense in A or not. Moreover, it is proven that A has Ashtekar-Lewandowski measure zero for every nontrivial structure group and every smoot...

Shen's Processes on Finslerian Connections

Connections between labellings of trees

There are many long-standing conjectures related with some labellings of trees. It is important to connect labellings that are related with conjectures. We find some connections between known labellings of simple graphs.