6 papers
On Variational Approximations For Wave Maps
Zhiyuan Geng, Changyou Wang
n this paper, we revisit the existence of global weak solutions of wave maps from into the sphere , , by establishing it…
Energy identity for stationary biharmonic mappings into spheres in supercritical dimensions
Chang-Yu Guo, Changyou Wang, Chang-Lin Xiang
Energy identity for harmonic type maps in supercritical dimensions is an important and difficult problem. For sphere-valued harmonic maps, the first breakthrough was achieved by Li…
Quantitative stratification and global regularity for 1/2-harmonic mappings
Changyu Guo, Guichun Jiang, Changyou Wang +2
In this paper, we extend the celebrated global regularity theory of Naber-Valtorta [Ann. Math. 2017] to 1/2-harmonic mappings into manifolds. Inspired by their work, we first adapt…
On a Problem Posed by Brezis and Mironescu
Fanghua Lin, Malkeil Shoshan, Changyou Wang
The purpose of this note is to present a positive answer to an open problem proposed in the recent book \cite{Brezis-Mironescu} by H. Brezis and P. Mironescu. It has been stated in…
Eigenframe discontinuities of the Q-tensor model
Zhiyuan Geng, Changyou Wang
In this paper, we study the defect structure of minimizer of a Landau-de Gennes energy functional in three-dimensional domains, subject to constraint . The set of defects is…
On forward self-similar heat flow of harmonic maps
Zhiyuan Geng, Changyou Wang, Junao Yu
For any -dimensional smooth, compact Riemannian manifold without boundary, there exists an such that for any homogeneous of degree z…