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Prognosis and optimization of homogeneous Markov message handling networks

Pavel Boček, Tomáš Feglar, Martin Janžura, Igor Vajda (2001)

Kybernetika

Message handling systems with finitely many servers are mathematically described as homogeneous Markov networks. For hierarchic networks is found a recursive algorithm evaluating after finitely many steps all steady state parameters. Applications to optimization of the system design and management are discussed, as well as a program product 5P (Program for Prognosis of Performance Parameters and Problems) based on the presented theoretical conclusions. The theoretic achievements as well as the practical...

Propagation of chaos for the 2D viscous vortex model

Nicolas Fournier, Maxime Hauray, Stéphane Mischler (2014)

Journal of the European Mathematical Society

We consider a stochastic system of N particles, usually called vortices in that setting, approximating the 2D Navier-Stokes equation written in vorticity. Assuming that the initial distribution of the position and circulation of the vortices has finite (partial) entropy and a finite moment of positive order, we show that the empirical measure of the particle system converges in law to the unique (under suitable a priori estimates) solution of the 2D Navier-Stokes equation. We actually prove a slightly...

Propagation of elastic waves in DNA.

Mukherjee, Sunil, Sarkar, Saumyendra Nath, Raychaudhuri, Probhas, Mazumdar, Sunil Kumar (1983)

International Journal of Mathematics and Mathematical Sciences

Propagation of Growth Uncertainty in a Physiologically Structured Population

H.T. Banks, S. Hu (2012)

Mathematical Modelling of Natural Phenomena

In this review paper we consider physiologically structured population models that have been widely studied and employed in the literature to model the dynamics of a wide variety of populations. However in a number of cases these have been found inadequate to describe some phenomena arising in certain real-world applications such as dispersion in the structure variables due to growth uncertainty/variability. Prompted by this, we described two recent...

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