# Convergence properties for a generalization of the Caginalp phase field system

@article{Canevari2013ConvergencePF, title={Convergence properties for a generalization of the Caginalp phase field system}, author={Giacomo Canevari and Pierluigi Colli}, journal={Asymptot. Anal.}, year={2013}, volume={82}, pages={139-162} }

We are concerned with a phase field system consisting of two partial differential equations in terms of the variables thermal displacement, that is basically the time integration of temperature, and phase parameter. The system is a generalization of the well-known Caginalp model for phase transitions, when including a diffusive term for the thermal displacement in the balance equation and when dealing with an arbitrary maximal monotone graph, along with a smooth anti-monotone function, in the…

## 8 Citations

### On a Cahn-Hilliard system with source term and thermal memory

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A nonisothermal phase ﬁeld system of Cahn–Hilliard type is introduced and analyzed mathematically. The system constitutes an extension of the classical Caginalp model for nonisothermal phase…

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### Sliding Mode Control for a Generalization of the Caginalp Phase-Field System

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It turns out that the nonlinear phase field system is a generalization of the Caginalp phase field model and it has been studied by many authors in the case that Â£Omega $\end{document} is a bounded domain, but for unbounded domains the analysis of the system seems to be at an early stage.

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A thermodynamic model describing phase transitions with thermal memory, in terms of an entropy equation and a momentum balance for the microforces, is adressed. Convergence results and error…

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