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Stability of Suliciu model for phase transitions

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  • 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.
    Mathematics Subject Classification: 75N20, 35B35, 35M10, 44A10.

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