DOI
10.1016/j.jde.2015.12.008
Abstract
We study the surface diffusion flow acting on a class of general (non--axisymmetric) perturbations of cylinders Cr in IR3. Using tools from parabolic theory on uniformly regular manifolds, and maximal regularity, we establish existence and uniqueness of solutions to surface diffusion flow starting from (spatially--unbounded) surfaces defined over Cr via scalar height functions which are uniformly bounded away from the central cylindrical axis. Additionally, we show that Cr is normally stable with respect to 2π--axially--periodic perturbations if the radius r>1,and unstable if 0
Document Type
Post-print Article
Publication Date
3-15-2016
Publisher Statement
Copyright © 2016 Elsevier B.V.
DOI: http://dx.doi.org/10.1016/j.jde.2015.12.008
The definitive version is available at: http://www.sciencedirect.com/science/article/pii/S0022039615006646
Full citation: LeCrone, Jeremy, and Gieri Simonett. "On the Flow of Non-Axisymmetric Perturbations of Cylinders via Surface Diffusion." Journal of Differential Equations 260, no. 6 (March 15, 2016): 5510-5531. doi: 10.1016/j.jde.2015.12.008.
Recommended Citation
LeCrone, Jeremy and Simonett, Gieri, "On the Flow of Non-Axisymmetric Perturbations of Cylinders via Surface Diffusion" (2016). Department of Math & Statistics Faculty Publications. 159.
https://scholarship.richmond.edu/mathcs-faculty-publications/159
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