Sharp-interface limits of Cahn-Hilliard models and mechanics with moving contact lines
arxiv(2023)
摘要
We construct gradient structures for free boundary problems with nonlinear
elasticity and study the impact of moving contact lines. In this context, we
numerically analyze how phase-field models converge to certain sharp-interface
limits when the interface thickness tends to zero ε→ 0. In
particular, we study the scaling of the Cahn-Hilliard mobility
m(ε)=m_0ε^α for 0≤α≤∞. In the
presence of interfaces, it is known that the intended sharp-interface limit is
only valid for α<α<α. However, in the
presence of moving contact lines we show that α near
α produces significant errors.
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