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math.AP2026
Global existence and convergence of a density heat flow for strictly subcritical Liouville systems
Zetao Cheng, Haoyu Li, Woongbae Park +1
We study a density heat flow associated with normalized Liouville systems on a closed connected Riemannian surface, and we show that this flow leads to the existence of solutions f…
math.AP2026
Synchronized Solutions for Liouville Systems with Sign-Changing Coefficients
Woongbae Park, Lei Zhang
We consider singular Liouville systems on closed Riemann surfaces with a common sign-changing coefficient. Direct continuation from a positive coefficient is obstructed by the unav…
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…