4 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…
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…
Global existence of Weak Solutions for a model of nematic liquid crystal-colloidal interactions
Zhiyuan Geng, Arnab Roy, ArghirZarnescu
In this paper we study a mathematical model describing the movement of a colloidal particle in a fixed, bounded three dimensional container filled with a nematic liquid crystal flu…