Stability of Suliciu model for phase transitions | Zendy

Shaoqiang Tang | Zendy; Huijiang Zhao | Zendy

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Stability of Suliciu model for phase transitions

Author(s) -

Shaoqiang Tang,

Huijiang Zhao

Publication year - 2004

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2004.3.545

Subject(s) - laplace transform , stability (learning theory) , inverse laplace transform , linear stability , inverse , mathematics , phase (matter) , boundary (topology) , mathematical analysis , phase transition , physics , mechanics , thermodynamics , computer science , geometry , instability , quantum mechanics , machine learning

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.

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