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On one class of dynamic transportation models

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Abstract

A model is studied that describes the process of good transportation occurring in some technologies. Transportation regimes satisfying a given management system are examined. Such regimes are described by traveling-wave solutions to a nonlinear finite-difference analogue of a parabolic equation. Possible transportation regimes are described, and the stability of stationary regimes is analyzed.

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Correspondence to L. A. Beklaryan.

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Original Russian Text © L.A. Beklaryan, N.K. Khachatryan, 2013, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2013, Vol. 53, No. 10, pp. 1649–1667.

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Beklaryan, L.A., Khachatryan, N.K. On one class of dynamic transportation models. Comput. Math. and Math. Phys. 53, 1466–1482 (2013). https://doi.org/10.1134/S0965542513100035

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