ISSN:
1572-9222
Keywords:
Kuramoto–Sivashinsky equation
;
attractors
;
analyticity in the space variable
;
spatial chaos
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract For the Kuramoto–Sivashinsky equation with L-periodic boundary conditions we show that the radius of space analyticity on the global attractor is lower-semicontinuous function at the stationary solutions, and thereby deduce the existence of a neighborhood in the global attractor of the set of all stationary solutions in which the radius of analyticity is independent of the bifurcation parameter L. As an application of the result, we prove that the number of rapid spatial oscillations of functions belonging to this neighborhood is, up to a logarithmic correction, at most linear in L.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1009002920348
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