T. Bourni

activity

20112026

most citedClassification of convex ancient free boundary mean curvature flows in the ball

1 citations · 3 across the 18 of their papers we have counts for

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Showing 2020 · math.DGShow all

3 papers · 2 filters

math.DG2020

The atomic structure of ancient grain boundaries

Theodora Bourni, Mat Langford, Giuseppe Tinaglia

Democritus and the early atomists held that "the material cause of all things that exist is the coming together of atoms and void. Atoms are eternal and have many different shapes,…

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…

The atomic structure of ancient grain boundaries

The vanishing of the fundamental gap of convex domains in Hn

Ancient solutions for flow by powers of the curvature in R2

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

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