ISSN:
1573-2754
Keywords:
GKS equation
;
attractor
;
inertial set
;
fractal structure
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Mathematics
,
Physics
Notes:
Abstract In this paper, the generalized Kuramoto-Sivashinsky equations (GKS) with periodic initial boundary value problem are considered and the construction of inertial sets in space H2 is given. Furthermore, this paper gives and proves the fractal structure of attractors for GKS equations, and find out an exponentially approximating sequence of compact fractal localizing sets of the attractors, these results sharpen and improve the conclusions of the inertial sets and attractor for GKS equation in [1, 3, 5, 7], which describe a kind of geometrical structure of the attractors.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02453391
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