A degenerate Cahn‐Hilliard model as constrained Wasserstein gradient flow | Zendy

Matthes Daniel | Zendy; Cances Clement | Zendy; Nabet Flore | Zendy

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A degenerate Cahn‐Hilliard model as constrained Wasserstein gradient flow

Author(s) -

Matthes Daniel,

Cances Clement,

Nabet Flore

Publication year - 2019

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201900158

Subject(s) - discretization , balanced flow , degenerate energy levels , constraint (computer aided design) , cahn–hilliard equation , flow (mathematics) , mathematics , metric (unit) , variational inequality , wasserstein metric , mathematical analysis , mathematical optimization , physics , partial differential equation , geometry , economics , operations management , quantum mechanics

Existence of solutions to a non‐local Cahn‐Hilliard model with degenerate mobility is considered. The PDE is written as a gradient flow with respect to the L 2 ‐Wasserstein metric for two components that are coupled by an incompressibility constraint. Approximating solutions are constructed by means of an implicit discretization in time and variational methods.

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