Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation-Reference-Cited by-同舟云学术

Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation

Published:1992-10 Issue:4 Volume:4 Page:585-615
ISSN:1040-7294
Container-title:Journal of Dynamics and Differential Equations
language:en
Short-container-title:J Dyn Diff Equat

Author:

Il'yashenko Ju. S.

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Link

http://link.springer.com/content/pdf/10.1007/BF01048261.pdf

Reference14 articles.

1. Beney, D. J. (1966). Long waves in liquid film.J. Math. Phys. 45, 150?155.

2. Sivashinsky, G., and Michelson, D. M. (1980). On irregular wavy flow of a liquid down a vertical plane.Prog. Theor. Phys. 63, 2112?2114.

3. Nicolaenko, B., Scheurer, B., and Temam, R. (1985). Some global dynamical properties of the Kuramoto-Sivashinsky equation: Nonlinear stability and attractors.Physica 16D, 155?183.

4. Kuramoto, Y. (1978). Diffusion-induced chaos in reaction systems.Supp. Progr. Theor. Phys. 64, 346?367.

5. Babin, A. V., and Vishik, M. I. (1983). Attractors of evolutionary partial differential equations and estimates of their dimension.Russ. Math. Surv. 38, N4, 133?187.

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