4 papers
Compact Mean Curvature Flows from Non-Compact Initial Data
Theodora Bourni, Nathan Burns, Marcus Flook
We construct compact, embedded solutions to the mean curvature flow in that arise from various non-compact initial data and exist for a finite time.
Myopic Best Response Replicates the Mean Curvature Flow
John S. McAlister, Nathan Burns
In a continuous coordination game, under myopic best response, players change strategies, and thus strategic communities change their shapes in time. We show that the boundaries of…
Stability of the Shrinking Semi-Circle Under the Free Boundary Curve Shortening Flow
Theodora Bourni, Nathan Burns, Mat Langford
We establish a sharp rate of convergence for a free-boundary curve shortening flow in a convex domain in which converges in finite time to a round half-point.
Classification of Convex Ancient Solutions to Free Boundary Curve Shortening Flow in Convex Domains
Theodora Bourni, Nathan Burns, Spencer Catron
We classify convex ancient curve shortening flows with free boundary on general bounded convex domains.