• Corpus ID: 231740373

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… 
1 Citations
Existence for a nonlocal Penrose--Fife type phase field system with inertial term
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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  • Shunsuke Kurima
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    ESAIM: Mathematical Modelling and Numerical Analysis
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TLDR
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