Analysis of closure relations for calculating interphase friction in gas-LHMC systems

The technique of global fringe fitting has proven to be very valuable for very-long-baseline interferometry (VLBI). It allows weaker fringes to be detected than is possible with conventional single-baseline fringe fitting algorithms, and thus improves the sensitivity of present VLBI arrays. Global fitting was developed for VLBI by Schwab and Cotton (1983, Astron. J.88, 688), and has been incorporated into the NRAO Astronomical Image Processing System as program VBFIT. As Schwab and Cotton point out, this is a generalized from of self-calibration in which closure relations for residual fringe delay and rate (frequency) are satisfied in addition to those for fringe phase and amplitude. These additional closure relations allow station-dependent delays and rates to be solved for, using data from all baselines with sufficiently strong fringes. Then it is possible to calculate where fringes will be on any less sensitive baselines between these telescopes, so that very narrow search windows in delay and rate can be used.

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Flow of spatially non-uniform suspensions. Part III: Closure relations for porous media and spinning particles

International Journal of Multiphase Flow ◽

10.1016/s0301-9322(01)00018-0 ◽

2001 ◽

Vol 27 (9) ◽

pp. 1627-1653 ◽

Cited By ~ 8

Author(s):

W. Wang ◽

A. Prosperetti

Keyword(s):

Porous Media ◽

Spinning Particles ◽

Closure Relations

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Modelling approaches for simple dynamic networks and applications to disease transmission models

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2011.0349 ◽

2012 ◽

Vol 468 (2141) ◽

pp. 1332-1355 ◽

Cited By ~ 31

Author(s):

Istvan Z. Kiss ◽

Luc Berthouze ◽

Timothy J. Taylor ◽

Péter L. Simon

Keyword(s):

Steady State ◽

Network Model ◽

Disease Transmission ◽

Dynamic Networks ◽

Dynamic Network ◽

Link Type ◽

Dynamic Network Model ◽

Pairwise Model ◽

Closure Relations ◽

Transmission Models

In this paper a random link activation–deletion (RLAD) model is proposed that gives rise to a stochastically evolving network. This dynamic network is then coupled to a simple susceptible-infectious-suceptible ( SIS ) dynamics on the network, and the resulting spectrum of model behaviour is explored via simulation and a novel pairwise model for dynamic networks. First, the dynamic network model is systematically analysed by considering link-type independent and dependent network dynamics coupled with globally constrained link creation. This is done rigorously with some analytical results and we highlight where such analysis can be performed and how these simpler models provide a benchmark to test and validate full simulations. The pairwise model is used to study the interplay between SIS -type dynamics on the network and link-type-dependent activation–deletion. Assumptions of the pairwise model are identified and their implications interpreted in a way that complements our current understanding. Furthermore, we also discuss how the strong assumptions of the closure relations can lead to disagreement between the simulation and pairwise model. Unlike on a static network, the resulting spectrum of behaviour is more complex with the prevalence of infections exhibiting not only a single steady state, but also bistability and oscillations.

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