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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. 2000 Mathematics Subject Classification. 75N20, 35B35, 35M10, 44A10.doi:10.3934/cpaa.2004.3.545 fatcat:vigri3yqgrcrjhusuos5n4rxfq