Jeremy LeCrone
Kansas State University

Stability of Cylinders in Surface Diffusion Flow Under General Perturbations

Abstract
The surface diffusion flow is a geometric evolution equation acting on immersed, oriented manifolds. Given a parametrization for the manifold, the morphological evolution of the manifold is prescribed by a fourth-order, quasilinear, parabolic pde. In this talk, I will discuss recent results regarding the stability of cylinders (as stationary solutions to surface diffusion flow) under general perturbations which exhibit periodicity along the axis defining the cylinder.
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