9 citations · 19 across the 13 of their papers we have counts for
13 papers
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…
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…
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…
Semi-classical spectral asymptotics of Toeplitz operators on CR manifolds
Hendrik Herrmann, Chin-Yu Hsiao, George Marinescu +1
Let be a compact strictly pseudoconvex embeddable CR manifold and let be the Toeplitz operator on associated with some first order pseudodifferential operator . We…
The Loewner-Nirenberg Problem in Cones
Qing Han, Xumin Jiang, Weiming Shen
We study asymptotic behaviors of solutions to the Loewner-Nirenberg problem in finite cones and establish optimal asymptotic expansions in terms of the corresponding solutions in i…
Boundary layer separation and local behavior for the Steady Prandtl equation
Weiming Shen, Yue Wang, Zhifei Zhang
In the case of favorable pressure gradient, Oleinik proved the global existence of classical solution for the 2-D steady Prandtl equation for a class of positive data. In the case…