Stability for phase field systems involving indefinite surface tension coefficients. (English) Zbl 1102.35310

Shirakawa, Ken

Colli, Pierluigi (ed.) et al., Dissipative phase transitions. Hackensack, NJ: World Scientific (ISBN 981-256-650-3/hbk). Series on Advances in Mathematics for Applied Sciences 71, 269-288 (2006).

A generalization of the model for the dynamics of solid-liquid phase transitions, expressed as a coupled system of evolution equations, is constructed for taking into account effects of geometrical constraints. The stability for any stationary point is studied in this framework where the temperature is unknown.
For the entire collection see [Zbl 1089.35006].

Reviewer: Dumitru Motreanu (Perpignan)

MSC:

35B35	Stability in context of PDEs
35K60	Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35K50	Systems of parabolic equations, boundary value problems (MSC2000)

Keywords:

solid-liquid phase transition; coupled system of evolution equations; stability; large-time behavior of the solutions; geometrical constraints