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Discrete and Continuous Dynamical Systems - Series B (DCDS-B)
 

Dynamic phase transition for binary systems in cylindrical geometry

Pages: 173 - 188, Volume 16, Issue 1, July 2011      doi:10.3934/dcdsb.2011.16.173

 
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I-Liang Chern - Department of Mathematics and Taidar Institute of Mathematical Science, National Taiwan University, Taipei, 10617, Taiwan (email)
Chun-Hsiung Hsia - Department of Mathematics and Taidar Institute of Mthematical Science, National Taiwan University, Taipei, 10617, Taiwan (email)

Abstract: In this article, we present a dynamic phase transition and stability analysis for the Cahn-Hilliard equations in cylindrical geometry. Two types of phase transitions (the continuous type and the jump type) are determined explicitly in terms of relevant physical and geometric parameters.

Keywords:  Phase transition, bifurcation, stability, binary system.
Mathematics Subject Classification:  37G35.

Received: February 2010;      Revised: August 2010;      Available Online: April 2011.

 References