Department of Mathematics
Tokyo University of Science
1-3, Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan
email: shunsuke.kurima@gmail.com
Shunsuke Kurima
Abstract:
This article presents a nonlocal Penrose-Fife type phase field system with inertial
term. We do not know whether we can prove the existence of solutions to the problem as
in Colli-Grasselli-Ito [3] or not.
In this article we introduce a time discretization scheme,
then pass to the limit as the time step h approaches 0, and obtain an error
estimate for the difference between the continuous solution and the discrete solution.
Submitted March 29, 2022. Published June 23, 2023.
Math Subject Classifications: 35G30, 80A22, 35A40.
Key Words: Nonlocal Penrose-Fife type phase field systems; inertial terms; existence; approximation and time discretization.
DOI: https://doi.org/10.58997/ejde.2023.40
Show me the PDF file (341 KB), TEX file for this article.
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Shunsuke Kurima Department of Mathematics Tokyo University of Science 1-3, Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan email: shunsuke.kurima@gmail.com |
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