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http://dx.doi.org/10.11568/kjm.2014.22.4.621

DYNAMICAL BIFURCATION OF THE ONE-DIMENSIONAL CONVECTIVE CAHN-HILLIARD EQUATION  

Choi, Yuncherl (Division of General Education Kwangwoon University)
Publication Information
Korean Journal of Mathematics / v.22, no.4, 2014 , pp. 621-632 More about this Journal
Abstract
In this paper, we study the dynamical behavior of the one-dimensional convective Cahn-Hilliard equation(CCHE) on a periodic cell [$-{\pi},{\pi}$]. We prove that as the control parameter passes through the critical number, the CCHE bifurcates from the trivial solution to an attractor. We describe the bifurcated attractor in detail which gives the final patterns of solutions near the trivial solution.
Keywords
convective Cahn-Hilliard equation; dynamic bifurcation; center manifold reduction.;
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Times Cited By KSCI : 1  (Citation Analysis)
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