Weak Solutions of the Cahn--Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach

DOI10.1137/19M1258840zbMath1429.35114arXiv1810.09817OpenAlexW3099803462WikidataQ126303577 ScholiaQ126303577MaRDI QIDQ5212045

Harald Garcke, Patrik Knopf

Publication date: 24 January 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.09817

zbMATH Keywords

Cahn-Hilliard equationgradient flowdynamic boundary conditions

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Singular perturbations in context of PDEs (35B25) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59)

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