Ideal Cascade with Side Flow

On cascade source coding with a side information "vending machine"

The model of a side information"vending machine"accounts for scenarios in which acquiring side information is costly and thus should be done efficiently. In this paper, the three-node cascade source coding problem is studied under the assumption that a side information vending machine is available either at the intermediate or at the end node. In both cases, a single-letter characterization of ...

Single-Sink Multicommodity Flow with Side Constraints

In recent years, several new models for network flows have been analyzed, inspired by emerging telecommunication technologies. These include models of resilient flow, motivated by the introduction of high capacity optical links, coloured flow, motivated by Wavelength-Division-Multiplexed optical networks, unsplittable flow motivated by SONET networks, and confluent flow motivated by next-hop ro...

Spatially Varied Flow Profiles in a V-Shaped Side-Channel

A Blowup Criterion for Ideal Viscoelastic Flow

We establish an analog of the Beale–Kato–Majda criterion for singularities of smooth solutions of the system of PDE arising in the Oldroyd model for ideal viscoelastic flow. It is well known that smooth solutions of the initial value problem associated with Euler’s equations { ∂tu+ (u · ∇)u = −∇p ∇ · u = 0 , (x, t) ∈ R 3 × (0, T ) (1.1) exist for some finite time T > 0. Here u = u(x, t) ∈ R and...

Ideal ' jet flow in two dimensions

A jet is a stream of one fluid entering another at high speed. In the simplest classical model of jet flow, the geometry is two-dimensional, gravity and viscosity are ignored, the moving fluid is a liquid, and the stationary fluid is a gas whose influence is assumed negligible. The description of this idealized flow can be reduced to a problem of complex analysis, but, except for very simple no...