V. Wheeler

activity

20132026

most citedClosed ideal planar curves

14 citations · 53 across the 25 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.DG2020

The vanishing of the fundamental gap of convex domains in $H^{n}$

Theodora Bourni, Julie Clutterbuck, Xuan Hien Nguyen +3

For the Laplace operator with Dirichlet boundary conditions on convex domains in $H^{n}$ , $n \geq 2$ , we prove that the product of the fundamental gap with the square of the d…

math.DG2020

Ancient solutions for flow by powers of the curvature in $R^{2}$

Theodora Bourni, Julie Clutterbuck, Xuan Hien Nguyen +3

We construct a new compact convex embedded ancient solution of the $κ^{α}$ flow in $R^{2}$ , $α \in (\frac{1}{2}, 1)$ that lies between two parallel lines. Using this solution we class…

math.DG2020

Theory and numerics for Chen's flow of curves

Matthew Cooper, Glen Wheeler, Valentina-Mira Wheeler

In this article we study Chen's flow of curves from theoreical and numerical perspectives. We investigate two settings: that of closed immersed $ω$ -circles, and immersed lines sati…

The vanishing of the fundamental gap of convex domains in Hn

Ancient solutions for flow by powers of the curvature in R2

Theory and numerics for Chen's flow of curves

The vanishing of the fundamental gap of convex domains in $H^{n}$

Ancient solutions for flow by powers of the curvature in $R^{2}$