Model equations and structures formation for the media with memory

O Makarenko

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arXiv · 1710.09232

Model equations and structures formation for the media with memory

O Makarenko

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Abstract

We propose new types of models of the appearance of small- and large scale structures in media with memory, including a hyperbolic modification of the Navier-Stokes equations and a class of dynamical low-dimensional models with memory effects. On the basis of computer modeling, the formation of the small-scale structures and collapses and the appearance of new chaotic solutions are demonstrated. Possibilities of the application of some proposed models to the description of the burst-type processes and collapses o nthe Sun are discussed.

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O Makarenko. 2017-10-13. Model equations and structures formation for the media with memory. https://arxiv.org/abs/1710.09232

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