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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2010 Volume 22, Number 12, Pages 65–81 (Mi mm3053)

Pulse structures lamellar type in the bounded polymeric systems

I. B. Krasnyuka, R. M. Taranetsb, V. M. Yurchenkoa

a Dīnetsk Institute for Physics and Engineering named after O. O. Galkin of the National Academy of Sciences of Ukraine, Donetsk
b Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, Donetsk

Abstract: Polymer-solvent or polymer-polymer systems with fluctuating concentration of one of a component are considered and dynamics of these fluctuations is investigated. It is shown, that the account of non-Fickian diffusion and dynamic nonlinear boundary conditions leads to occurrence of asymptotic periodic pulse travelling-waves.

Keywords: polymeric systems, Cahn–Hilliard equation, non-Fickian diffusion, disorder structures.

UDC: 539.22

Received: 17.03.2010



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