Abstract:
Recently many investigations have been devoted to theoretical models in new areas concerning description of different biological, sociological and historical processes. In the present paper we investigate the nazi Germany invasion in Poland, France and USSR from the kinetic theory point of view. We model this process with the Cauchy boundary problem for the two-element kinetic equations with spatial uniform initial conditions. The solution of the problem is given in the form of the traveling wave and the propagation velocity of a frontline depends on the quotient between initial forces concentrations. Moreover it is obtained that the general solution of the model can be obtained in terms of the quadratures and elementary functions. Finally it is shown that the frontline velocities are complied with the historical data.
Citation:
V. V. Aristov, O. V. Ilyin, “Description of the rapid invasion processes by means of the kinetic model”, Computer Research and Modeling, 6:5 (2014), 829–838
\Bibitem{AriIly14}
\by V.~V.~Aristov, O.~V.~Ilyin
\paper Description of the rapid invasion processes by means of the kinetic model
\jour Computer Research and Modeling
\yr 2014
\vol 6
\issue 5
\pages 829--838
\mathnet{http://mi.mathnet.ru/crm361}
\crossref{https://doi.org/10.20537/2076-7633-2014-6-5-829-838}
Linking options:
https://www.mathnet.ru/eng/crm361
https://www.mathnet.ru/eng/crm/v6/i5/p829
This publication is cited in the following 3 articles:
V. V. Aristov, A. V. Stroganov, A. D. Yastrebov, “Application of a Kinetic Model for Studying the Spatial Spread of COVID-19”, Dokl. Phys., 66:5 (2021), 129
O. V. Ilyin, “Solutions of the generalized kinetic model of annihilation for a mixture of particles of two types”, Comput. Math. Math. Phys., 56:12 (2016), 2079–2083
V. V. Shumov, “Uchet psikhologicheskikh faktorov v modelyakh boya (konflikta)”, Kompyuternye issledovaniya i modelirovanie, 8:6 (2016), 951–964
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