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Remarks on temperature-dependent Cahn--Hilliard equations
Abstract
We recall several derivations of temperature-dependent Cahn-Hilliard equations. The resulting equations are systems of mixed order. For a suitable subclass of equations we discuss its local-in-time well-posedness based on Lp-maximal regularity theory. We also discuss stability of equilibria.
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BibTeX
@misc{giga2026remarks,
title = {{Remarks on temperature-dependent Cahn--Hilliard equations}},
author = {Mi-Ho Giga and Yoshikazu Giga and Naoto Kajiwara and Kazuyuki Tsuda},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.13140},
eprint = {2610.13140},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.13140},
}
RIS
TY - UNPB
TI - Remarks on temperature-dependent Cahn--Hilliard equations
AU - Mi-Ho Giga
AU - Yoshikazu Giga
AU - Naoto Kajiwara
AU - Kazuyuki Tsuda
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.13140
UR - https://arxiv.org/abs/2610.13140
AB - We recall several derivations of temperature-dependent Cahn-Hilliard equations. The resulting equations are systems of mixed order. For a suitable subclass of equations we discuss its local-in-time well-posedness based on L^p-maximal regularity theory. We also discuss stability of equilibria.
ER -