3 papers
math.DG2026
Extrinsic bi-Conformal Heat Flow and its smoothness
Woongbae Park
In this paper we introduce conformal heat flow of (extrinsic) biharmonic maps on -manifold, simply called bi-conformal heat flow (bi-CHF), and study its properties. Similar to o…
math.AP2025
Long Time Existence of A Flow of Elliptic Systems
Woongbae Park, Lei Zhang
For elliptic systems defined on Riemann surfaces, Liouville and Toda systems represent two well-known classes exhibiting drastically different solution structures. Over the years,…
math.DG2025
Regularized -Conformal heat flow and global smoothness
Woongbae Park
In this paper, we introduce the regularized conformal heat flow of -harmonic maps, or simply regularized -conformal heat flow from -dimensional Riemannian manifold. This i…