Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials
By Pierluigi Colli, Takeshi Fukao. 2015
70 citations recorded by the source corpus.
The well-posedness of a system of partial differential equations and dynamic boundary conditions, both of Cahn-Hilliard type, is discussed. The existence of a weak solution and its continuous dependence on the data are proved using a suitable setting for the conservation of a total mass in the bulk plus the boundary. A very general class of double-well like potentials is allowed. Moreover, some further regularity is obtained to guarantee the strong solution.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/d0e324f502cf37b32fbc7e089e83f7326afadd70
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In Computational Mechanics
In Computational Theory and Mathematics
In Materials Chemistry
Citations in the corpus
- A Review on the Cahn-Hilliard Equation: Classical Results and Recent Advances in Dynamic Boundary Conditions (2021, background): “The case with a possibly singular and dominating boundary potential was considered in [32].”