Corpus ID: 201070593

Convergence of a Robin boundary approximation for a Cahn--Hilliard system with dynamic boundary conditions

@inproceedings{Knopf2019ConvergenceOA,
  title={Convergence of a Robin boundary approximation for a Cahn--Hilliard system with dynamic boundary conditions},
  author={Patrik Knopf and Kei Fong Lam},
  year={2019}
}
  • Patrik Knopf, Kei Fong Lam
  • Published 2019
  • Mathematics
  • We prove the existence of unique weak solutions to an extension of a Cahn--Hilliard model proposed recently by C.~Liu and H.~Wu (2019), in which the new dynamic boundary condition is further generalised with an affine linear relation between the surface and bulk order parameters. As a first approach to tackle more general and nonlinear relations, we investigate the existence of unique weak solutions to a regularisation by a Robin boundary condition. Included in our analysis is the case where… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 30 REFERENCES

    Finite-Elemente Approximation der Cahn-Hilliard-Gleichung mit Neumann- und dynamischen Randbedingungen

    • D. Trautwein
    • Bachelor thesis,
    • 2018
    VIEW 1 EXCERPT

    The scalar auxiliary variable (SAV) approach for gradient flows

    VIEW 1 EXCERPT