Vanishing diffusion in a dynamic boundary condition for the Cahn–Hilliard equation

@article{Colli2020VanishingDI,
  title={Vanishing diffusion in a dynamic boundary condition for the Cahn–Hilliard equation},
  author={Pierluigi Colli and Takeshi Fukao},
  journal={Nonlinear Differential Equations and Applications NoDEA},
  year={2020}
}
  • P. Colli, T. Fukao
  • Published 15 April 2020
  • Mathematics
  • Nonlinear Differential Equations and Applications NoDEA
The initial boundary value problem for a Cahn-Hilliard system subject to a dynamic boundary condition of Allen-Cahn type is treated. The vanishing of the surface diffusion on the dynamic boundary condition is the point of emphasis. By the asymptotic analysis as the diffusion coefficient tends to 0, one can expect that the solutions of the surface diffusion problem converge to the solution of the problem without the surface diffusion. This is actually the case, but the solution of the limiting… 
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