An energetic variational approach for the Cahn-Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis

DOI10.1007/s00205-019-01356-xzbMath1416.35209arXiv1710.08318OpenAlexW3101215683WikidataQ128465313 ScholiaQ128465313MaRDI QIDQ1741805

Chun Liu, Hao Wu

Publication date: 7 May 2019

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08318

zbMATH Keywords

Cahn-Hilliard equationasymptotic limitOnsager's principle

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) A priori estimates in context of PDEs (35B45) Interfacial stability and instability in hydrodynamic stability (76E17) Weak solutions to PDEs (35D30) Other free boundary flows; Hele-Shaw flows (76D27) Strong solutions to PDEs (35D35)

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