Stationary Solutions of Driven Fourth- and Sixth-Order Cahn--Hilliard-Type Equations

@article{Korzec2008StationarySO,
  title={Stationary Solutions of Driven Fourth- and Sixth-Order Cahn--Hilliard-Type Equations},
  author={Maciek D. Korzec and P. L. Evans and Andreas M{\"u}nch and Barbara Wagner},
  journal={SIAM Journal of Applied Mathematics},
  year={2008},
  volume={69},
  pages={348-374}
}
New types of stationary solutions of a one-dimensional driven sixthorder Cahn-Hilliard type equation that arises as a model for epitaxially growing nano-structures such as quantum dots, are derived by an extension of the method of matched asymptotic expansions that retains exponentially small terms. This method yields analytical expressions for far-field behavior as well as the widths of the humps of these spatially non-monotone solutions in the limit of small driving force strength which is… CONTINUE READING

Similar Papers

Citations

Publications citing this paper.
SHOWING 1-10 OF 18 CITATIONS

References

Publications referenced by this paper.
SHOWING 1-10 OF 28 REFERENCES

Faceting of a growing crystal surface by surface diffusion.

  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL