Mathematics – Dynamical Systems
Scientific paper
2011-02-04
Mathematics
Dynamical Systems
18 pages
Scientific paper
Taking into account the occurrence of a zero of the surface diffusion current and the requirement of the Ehrlich-Schwoebel effect, Siegert et al \cite{Siegert94} formulate a model of Langevin type that describes the growth of pyramidlike structures on a surface under conditions of molecular beam epitaxy, and that the slope of these pyramids is selected by the crystalline symmetries of the growing film. In this article, the existence and uniqueness of weak solution to an initial boundary value problem for this model is proved, in the case that the noise is neglected. The regularity of the weak solution to models, with/without slope selection, is also investigated.
Zhang James J.
Zhu Peicheng
No associations
LandOfFree
Existence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Existence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-491880