Sharp-Interface Limits of the Cahn-Hilliard Equation with Degenerate Mobility

@article{Lee2015SharpInterfaceLO,
  title={Sharp-Interface Limits of the Cahn-Hilliard Equation with Degenerate Mobility},
  author={Alpha Albert Lee and Andreas M{\"u}nch and Endre S{\"u}li},
  journal={SIAM Journal of Applied Mathematics},
  year={2015},
  volume={76},
  pages={433-456}
}
In this work, the sharp interface limit of the degenerate Cahn-Hilliard equation (in two space dimensions) with a polynomial double well free energy and a quadratic mobility is derived via a matched asymptotic analysis involving exponentially large and small terms and multiple inner layers. In contrast to some results found in the literature, our analysis reveals that the interface motion is driven by a combination of surface diffusion flux proportional to the surface Laplacian of the interface… CONTINUE READING

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