7 papers
Heat flow on time-dependent manifolds
Beomjun Choi, Jianhui Gao, Robert Haslhofer +1
We establish effective existence and uniqueness for the heat flow on time-dependent Riemannian manifolds, under minimal assumptions tailored towards the study of Ricci flow through…
A note on the selfsimilarity of limit flows
Beomjun Choi, Robert Haslhofer, Or Hershkovits
It is a fundamental open problem for the mean curvature flow, and in fact for many partial differential equations, whether or not all blowup limits are selfsimilar. In this short n…
Evolution of non-compact hypersurfaces by inverse mean curvature
Beomjun Choi, Panagiota Daskalopoulos
We study the evolution of complete non-compact convex hypersurfaces in by the inverse mean curvature flow. We establish the long time existence of solutions and…
Inverse Mean Curvature Flow with Singularities
Beomjun Choi, Pei-Ken Hung
This paper concerns the inverse mean curvature flow of convex hypersurfaces which are Lipschitz in general. After defining a weak solution, we study the evolution of the singularit…
Type II Singularities on complete non-compact Yamabe flow
Beomjun Choi, Panagiota Daskalopoulos, John King
This work concerns with the existence and detailed asymptotic analysis of Type II singularities for solutions to complete non-compact conformally flat Yamabe flow with cylindrical…
Convergence of Curve Shortening Flow to Translating Soliton
Beomjun Choi, Kyeongsu Choi, Panagiota Daskalopoulos
This paper concerns with the asymptotic behavior of complete non-compact convex curves embedded in under the -curve shortening flow for exponents . We…