-
Author(s):
Yoshiomi Kondoh
-
Title:
Attractors of Dissipative Structure in Three Disspative Fluids
Date of publication:
Oct. 1993
-
Key words:
self-organization, eigenfunction of dissipative dynamic operator, attractor of dissipative structure, incompressible vicous fluids, incompressible viscous and resistive MHD fluids, resistive MHD plasma
-
Abstract:
A general theory with use of auto-correlations for distributions is presented to derive that realization of coherent structures in general dissipative dynamic systems is equivalent to that of self-organized states with the minimum dissipation rate fol instantaneously contained energy. Attractors of dissipative structure are shown to be given by eigenfunctions for dissipative dynamic operators of the dynamic system and to constitute the self-organized and self-similar decay phase. Three typical examples applied to incompressible viscous fluids, to incompressible viscous and resistive magnetohydrodynamic (MHD) fluids and to compressible resistive MHD plasmas are presented to lead to attractors in the three dissipative fluids and to describe a common physical picture of self-organization and bifurcation of the dissipative structure.
-
|
