Generalization of coarse-grained models with introduction of three-dimensional space

As a candidate for generalization in the scope of this work we consider any model derived from a system of first order ordinary differential equations for quantities of abstract bulk objects. The main objective of this work is to construct a universal scheme for generalization of such models with in...

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Main Author: M. N. Nazarov
Format: Article
Language:English
Published: Samara State Technical University 2011-12-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu842
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author M. N. Nazarov
author_facet M. N. Nazarov
author_sort M. N. Nazarov
collection DOAJ
description As a candidate for generalization in the scope of this work we consider any model derived from a system of first order ordinary differential equations for quantities of abstract bulk objects. The main objective of this work is to construct a universal scheme for generalization of such models with introduction of three-dimensional space and regard for migration of objects without switching to partial derivatives.
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spelling doaj.art-3298670d0a974df283723a691a96e9772022-12-21T22:02:24ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812011-12-014(25)11011710.14498/vsgtu842Generalization of coarse-grained models with introduction of three-dimensional spaceM. N. NazarovAs a candidate for generalization in the scope of this work we consider any model derived from a system of first order ordinary differential equations for quantities of abstract bulk objects. The main objective of this work is to construct a universal scheme for generalization of such models with introduction of three-dimensional space and regard for migration of objects without switching to partial derivatives.http://mi.mathnet.ru/eng/vsgtu842
spellingShingle M. N. Nazarov
Generalization of coarse-grained models with introduction of three-dimensional space
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
title Generalization of coarse-grained models with introduction of three-dimensional space
title_full Generalization of coarse-grained models with introduction of three-dimensional space
title_fullStr Generalization of coarse-grained models with introduction of three-dimensional space
title_full_unstemmed Generalization of coarse-grained models with introduction of three-dimensional space
title_short Generalization of coarse-grained models with introduction of three-dimensional space
title_sort generalization of coarse grained models with introduction of three dimensional space
url http://mi.mathnet.ru/eng/vsgtu842
work_keys_str_mv AT mnnazarov generalizationofcoarsegrainedmodelswithintroductionofthreedimensionalspace