Curvature Effects in Pattern Formation: Well-Posedness and Optimal Control of a Sixth-Order Cahn–Hilliard Equation-Reference-Cited by-同舟云学术

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Curvature Effects in Pattern Formation: Well-Posedness and Optimal Control of a Sixth-Order Cahn–Hilliard Equation

Published:2024-07-09 Issue:4 Volume:56 Page:4928-4969
ISSN:0036-1410
Container-title:SIAM Journal on Mathematical Analysis
language:en
Short-container-title:SIAM J. Math. Anal.

Author:

Colli Pierluigi¹^ORCID,Gilardi Gianni¹,Signori Andrea²^ORCID,Sprekels Jürgen³

Affiliation:

1. Dipartimento di Matematica “F. Casorati,” Università di Pavia, and Research Associate at the IMATI – C.N.R. Pavia, I-27100 Pavia, Italy.

2. Dipartimento di Matematica, Politecnico di Milano, I-20133 Milano, Italy, Alexander von Humboldt Research Fellow.

3. Weierstrass Institute for Applied Analysis and Stochastics, D-10117 Berlin, Germany.

Funder

MIUR-PRIN

MUR

Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

Ministero dell'Istruzione, dell'Università e della Ricerca

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference28 articles.

1. The Willmore functional and instabilities in the Cahn-Hilliard equation

2. Free Energy of a Nonuniform System. I. Interfacial Free Energy

3. Cahn–Hilliard–Brinkman model for tumor growth with possibly singular potentials

4. A phase-field approximation of the Willmore flow with volume constraint

5. A Phase-Field Approximation of the Willmore Flow with Volume and Area Constraints

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