Pointwise asymptotic convergence of solutions for a phase separation model
- Krejčí, Pavel
- Zheng, Songmu
2010 Mathematics Subject Classification
- 80A22 35K50 35B40
- Phase-field system, asymptotic phase separation, energy, entropy
A new technique, combining the global energy and entropy balance equations with the local stability theory for dynamical systems, is used for proving that every solution to a non-smooth temperature-driven phase separation model with conserved energy converges pointwise in space to an equilibrium as time tends to infinity. Three main features are observed: the limit temperature is uniform in space, there exists a partition of the physical body into at most three constant limit phases, and the phase separation process has a hysteresis-like character.
- Discrete Contin. Dyn. Syst., 16 (2006) pp. 1-18.