Open AccessModel Equations and Formation of Structures in Media with Memory
Author(s) -
А Макаренко
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.