We consider an infinite chain of particles linearly coupled to their nearest neighbours and look for time-periodic, spatially almost localised solutions (generalised breathers). As a starting point,...
We consider an infinite chain of particles linearly coupled to their nearest neighbours and look for time-periodic, spatially almost localised solutions (generalised breathers). As a starting point,...
Evolution of convex lens-shaped networks under curve shortening flow (2007)
Schnürer, Oliver C., Azouani, Abderrahim, Georgi, Marc, Hell, Juliette, Jangle, Nihar, Koeller, Amos, ...
We consider convex symmetric lens-shaped networks in R^2 that evolve under curve shortening flow. We show that the enclosed convex domain shrinks to a point in finite time. Furthermore, after...