Bowl Soliton Asymptotics and Applications

In this paper, we obtain the asymptotic expansion for the analogue of the bowl-soliton for a large nondegenerate' class of fully nonlinear curvature flows. We use this to show the uniqueness of these bowl-type solitons in their asymptotic class. We also give examples to illustrate the situation for degenerate’ speeds and how they different they can be. Finally, we show how to construct `wing-like’ solitons for these flows, which are complete, connected translators that are not graphical, entire or convex. We also obtain asymptotic expansions for them to show the variety of solutions that one can obtain depending on the choice of speed function.