3 citations · 4 across the 3 of their papers we have counts for
4 papers
Smoothness of conformal heat flow of harmonic maps
Woongbae Park
The conformal heat flow of harmonic maps is a system of evolution equations combined with harmonic map flow with metric evolution in conformal direction. It is known that global we…
Quantitative estimates for fractional Sobolev mappings in rational homotopy groups
Woongbae Park, Armin Schikorra
Let be a smooth simply connected compact manifold without boundary. A rational homotopy subgroup of is represented by a homo…
A new conformal heat flow of harmonic maps
Woongbae Park
We introduce and study a conformal heat flow of harmonic maps defined by an evolution equation for a pair consisting of a map and a conformal factor of metric on the two-dimensiona…
Compactness of harmonic maps of surfaces with regular nodes
Woongbae Park
In this paper, we formulate and prove a general compactness theorem for harmonic maps using Deligne-Mumford moduli space and families of curves. The main theorem shows that given a…