December  2004, 3(4): 545-556. doi: 10.3934/cpaa.2004.3.545

Stability of Suliciu model for phase transitions

1. 

LTCS, Department of Mechanics and Engineering Science, Peking University, Beijing 100871

2. 

Wuhan Institute of Physics and Mathematics, Academia Sinica, Wuhan 430071, China

Received  December 2003 Revised  July 2004 Published  September 2004

We study stability of subsonic phase boundary solutions in the Suliciu model for phase transitions under tri-linear structural relation. With the help of Laplace transform, the evolution of perturbation is described by a linear dynamical system, and explicit solution is obtained in terms of inverse Laplace transform. Stability is established through energy estimates. The relaxed system is also discussed.
Citation: Shaoqiang Tang, Huijiang Zhao. Stability of Suliciu model for phase transitions. Communications on Pure & Applied Analysis, 2004, 3 (4) : 545-556. doi: 10.3934/cpaa.2004.3.545
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