A regularization-free approach to the Cahn-Hilliard equation with logarithmic potentials

DOI10.3934/dcds.2021198zbMath1490.35331arXiv2110.15095OpenAlexW3210582219MaRDI QIDQ2131190

Yanyan Li

Publication date: 25 April 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.15095

zbMATH Keywords

regularitywellposednessCahn-Hilliardgloballogarithmic

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

The separation property for 2D Cahn-Hilliard equations: local, nonlocal and fractional energy cases ⋮ A uniquely solvable, positivity-preserving and unconditionally energy stable numerical scheme for the functionalized Cahn-Hilliard equation with logarithmic potential ⋮ Dynamics of an evolution equation with singular potential ⋮ Solutions with single radial interface of the generalized Cahn-Hilliard flow

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