Math @ Duke

Publications [#347228] of Yuan Gao
search scholar.google.com.Papers Published
 Gao, Y; Liu, JG; Lu, J, Weak solution of a continuum model for vicinal surface in the attachmentdetachmentlimited regime,
Siam Journal on Mathematical Analysis, vol. 49 no. 3
(January, 2017),
pp. 17051731 [doi]
(last updated on 2022/05/16)
Abstract: We study in this work a continuum model derived from a onedimensional attachmentdetachmentlimited type step flow on a vicinal surface, ut = u2(u3)hhhh, where u, considered as a function of step height h, is the step slope of the surface. We formulate a notion of a weak solution to this continuum model and prove the existence of a global weak solution, which is positive almost everywhere. We also study the long time behavior of the weak solution and prove it converges to a constant solution as time goes to infinity. The spacetime HÃ¶lder continuity of the weak solution is also discussed as a byproduct.


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