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math.AP2012
Stability and bifurcation of equilibria for the axisymmetric averaged mean curvature flow
Jeremy LeCrone
We study the averaged mean curvature flow, also called the volume preserving mean curvature flow, in the particular setting of axisymmetric surfaces embedded in R^3 satisfying peri…
math.AP2012★ 11 cited
On well-posedness, stability, and bifurcation for the axisymmetric surface diffusion flow
Jeremy LeCrone, Gieri Simonett
In this article, we study the axisymmetric surface diffusion flow (ASD), a fourth-order geometric evolution law. In particular, we prove that ASD generates a real analytic semiflow…