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The closed continuous‐time homogeneous semi‐Markov system as a non‐Newtonian fluid
Author(s) -
Tsaklidis George M.
Publication year - 2000
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/(sici)1526-4025(200001/03)16:1<73::aid-asmb383>3.0.co;2-#
Subject(s) - homogeneous , markov chain , mathematics , non newtonian fluid , newtonian fluid , mathematical optimization , computer science , statistical physics , mechanics , mathematical economics , calculus (dental) , physics , statistics , medicine , combinatorics , dentistry
The set of the attainable structures of a closed continuous‐time homogeneous semi‐markov system (HSMS) with n states, is considered as a continuum and the evolution of the HSMS in the Euclidean space E n corresponds to its motion. In accordance with the velocity field of the HSMS, a suitable model of a continuum—defined by an acceleration‐dependent stress tensor of the form T = − p I + 2 μ M and satisfying the Cauchy's equation of motion—is proposed in order to explain the motion of the HSMS. Then, the variation of the internal, kinetic and total energy of the model is examined. Copyright © 2000 John Wiley & Sons Ltd.