Degenerate Cahn-Hilliard equation: from nonlocal to local

DOI10.1016/j.jde.2023.03.057zbMath1514.35045arXiv2208.08955OpenAlexW4365141110MaRDI QIDQ6041821

Charles Elbar, Jakub Skrzeczkowski

Publication date: 15 May 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.08955

zbMATH Keywords

periodic boundary conditionssingular limitnonlocal Cahn-Hilliard equationdegenerate Cahn-Hilliard equationaggregation-diffusion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59)

Related Items (4)

Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion ⋮ Exponential attractor for the Cahn-Hilliard-Oono equation in \(\mathbb{R}^N\) ⋮ From Vlasov equation to degenerate nonlocal Cahn-Hilliard equation ⋮ A nonlocal Gray-Scott model: well-posedness and diffusive limit

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