1990
DOI: 10.1016/s0294-1449(16)30304-3
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Minimal interface criterion for phase transitions in mixtures of Cahn–Hilliard fluids

Abstract: L'accès aux archives de la revue « Annales de l'I. H. P., section C » (http://www.elsevier.com/locate/anihpc) implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/

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Cited by 191 publications
(275 citation statements)
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“…For the construction of the sets E n in Theorem 2.11 we refer to Lemma 3.1 in Baldo [5]. Assertion (2.6) is due to Acerbi & Bouchitté [1, Lemma 3.6 ii].…”
Section: Definition 28 (Essential Boundary) For Everymentioning
confidence: 99%
“…For the construction of the sets E n in Theorem 2.11 we refer to Lemma 3.1 in Baldo [5]. Assertion (2.6) is due to Acerbi & Bouchitté [1, Lemma 3.6 ii].…”
Section: Definition 28 (Essential Boundary) For Everymentioning
confidence: 99%
“…It can be shown with the help of formally matched asymptotic expansions or with Γ -convergence methods that, as γ → 0, E leads to a sharp interface free energy with surface energy densities (sometimes also called surface tensions) where the infimum is over all p ∈ C 1 ([−1, 1], R 2 ) with p(−1) = i and p(1) = j . Again we refer to [2,11,23] for more details.…”
Section: Introductionmentioning
confidence: 99%
“…The most striking feature of Table 3 is that J 0 is approximately proportional to the length of the interface. Indeed, a theorem of Baldo (see [Baldo, 1990] and Theorem 1.1 of [Sternberg & Zeimer, 1994]) states that J 0 is proportional to the H 1 measure (length) of the interface. Table 2.…”
Section: Numerical Resultsmentioning
confidence: 99%