Transport equation on semidiscrete domains and Poisson-Bernoulli processes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F13%3A43918412" target="_blank" >RIV/49777513:23520/13:43918412 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/10236198.2011.651133" target="_blank" >http://dx.doi.org/10.1080/10236198.2011.651133</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/10236198.2011.651133" target="_blank" >10.1080/10236198.2011.651133</a>

Result language
angličtina
Original language name
Transport equation on semidiscrete domains and Poisson-Bernoulli processes
Original language description
In this paper we consider a scalar transport equation with constant coefficients on domains with discrete space and continuous, discrete or general time. We show that on all these underlying domains solutions of the transport equation can conserve sign and integrals both in time and space. Detailed analysis reveals that, under some initial conditions, the solutions correspond to counting stochastic processes and related probability distributions. Consequently, the transport equation could generate various modifications of these processes and distributions and provide some insights into corresponding convergence questions. Possible applications are suggested and discussed.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F12%2F1757" target="_blank" >GAP201/12/1757: Partial differential equations on continuous-discrete domains</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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