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.
Further regularity and uniqueness results for a non-isothermal Cahn-Hilliard equation / Ipocoana, E.; Zafferi, A.. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 20:2(2021), pp. 763-782. [10.3934/CPAA.2020289]
Further regularity and uniqueness results for a non-isothermal Cahn-Hilliard equation
Ipocoana E.
;Zafferi A.
2021
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.
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