# 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} }

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

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