7 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…
The harmonic map heat flow on conic manifolds
Yuanzhen Shao, Changyou Wang
In this article, we study the the harmonic map heat flow from a manifold with conic singularities to a closed manifold. In particular, we have proved the short time existence and u…