Model Equations and Formation of Structures in Media with Memory | Zendy

Alexander Makarenko | Zendy

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Model Equations and Formation of Structures in Media with Memory

Author(s) -

Alexander Makarenko

Publication year - 2012

Publication title -

ukrainian journal of physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.213

H-Index - 17

eISSN - 2071-0194

pISSN - 2071-0186

DOI - 10.15407/ujpe57.4.408

Subject(s) - chaotic , computer science , scale (ratio) , basis (linear algebra) , class (philosophy) , statistical physics , type (biology) , memory model , theoretical computer science , mathematics , artificial intelligence , physics , parallel computing , geometry , shared memory , geology , paleontology , quantum mechanics

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 proposedmodels to the description of the burst-type processes and collapses on the Sun are discussed.

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