# 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} }

- Published in SIAM Journal of Applied Mathematics 2008
DOI:10.1137/070710949

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

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