3 papers
math.AP2025
Asymptotic behavior of complete conformal metric near singular boundary
Weiming Shen, Yue Wang
The boundary behavior of the singular Yamabe problem has been extensively studied near sufficiently smooth boundaries, while less is known about the asymptotic behavior of solution…
math.AP2025
Global stability of three dimensional steady Prandtl equation
Weiming Shen, Yue Wang, Tong Yang
The well-posedness of three dimensional Prandtl equation is an outstanding open problem despite of the study in analytic and Gevrey function spaces. This problem is raised as the t…
math.DG2023
Blow-up sets of Ricci curvatures of complete conformal metrics
Qing Han, Weiming Shen, Yue Wang
A version of the singular Yamabe problem in smooth domains in a closed manifold yields complete conformal metrics with negative constant scalar curvatures. In this paper, we study…