WIAS Preprint No. 2716, (2020)
Further regularity and uniqueness results for a non-isothermal Cahn--Hilliard equation
Authors
- Ipocoana, Erica
- Zafferi, Andrea
ORCID: 0000-0003-4012-7666
2010 Mathematics Subject Classification
- 35Q35 35D35 80A22 35A02 35B65
Keywords
- Cahn--Hilliard, non-isothermal model, regularity of solutions, uniqueness
DOI
Abstract
The aim of this paper is to establish new regularity results for a non-isothermal Cahn--Hilliard system in the two-dimensional setting. The main achievement is a crucial L∞ estimate for the temperature, obtained by a suitable Moser iteration scheme. Our results in particular allow us to get a new simplified version of the uniqueness proof for the considered model.
Appeared in
- Commun. Pure Appl. Anal., 20 (2021), pp. 763--782, DOI 10.3934/cpaa.2020289 .
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