# Time discretization of a nonlocal phase-field system with inertial term

@article{Kurima2021TimeDO, title={Time discretization of a nonlocal phase-field system with inertial term}, author={Shunsuke Kurima}, journal={ArXiv}, year={2021}, volume={abs/2102.00860} }

Time discretizations of phase-field systems have been studied. For example, a time discretization and an error estimate for a parabolic-parabolic phase-field system have been studied by Colli–K. [Commun. Pure Appl. Anal. 18 (2019)]. Also, a time discretization and an error estimate for a simultaneous abstract evolution equation applying parabolic-hyperbolic phase field systems and the linearized equations of coupled sound and heat flow have been studied (see K. [ESAIM Math. Model. Numer. Anal…

## One Citation

Existence for a nonlocal Penrose--Fife type phase field system with inertial term

- Mathematics
- 2022

This article deals with a nonlocal Penrose-Fife type phase field system with inertial term. We do not know whether we can prove existence of solutions in reference to Colli–Grasselli–Ito [Electron.…

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