2 citations · 3 across the 5 of their papers we have counts for
7 papers
Biconservative hypersurfaces with constant scalar curvature in space forms
Yu Fu, Min-Chun Hong, Dan Yang +1
Biconservative hypersurfaces are hypersurfaces which have conservative stress-energy tensor with respect to the bienergy, containing all minimal and constant mean curvature hypersu…
A new representation for the Landau-de Gennes energy of nematic liquid crystals
Zhewen Feng, Min-Chun Hong
In the Landau-de Gennes theory on nematic liquid crystals, the well-known Landau-de Gennes energy depends on four elastic constants; , , , . For the general cas…
Convergence of the Ginzburg-Landau approximation for the Ericksen-Leslie system
Zhewen Feng, Min-Chun Hong, Yu Mei
We establish the local well-posedness of the general Ericksen-Leslie system in liquid crystals with the initial velocity and director field in . In particular, we…
Finite time blowup of the -harmonic flow on -manifolds
Leslie Hon-Nam Cheung, Min-Chun Hong
We generalize the no-neck result of Qing-Tian \cite{QT} to show that there is no neck during blowing up for the -harmonic flow as . As an application of the no-neck…
The Yang-Mills α-flow in vector bundles over four manifolds and its applications
Min-Chun Hong, Gang Tian, Hao Yin
In this paper, we introduce an α-flow for the Yang-Mills functional in vector bundles over four dimensional Riemannian manifolds, and establish global existence of a unique smooth…
Global existence of solutions of the Liquid Crystal flow for the Oseen-Frank model
Min-Chun Hong, Zhouping Xin
In the first part of this paper, we establish global existence of solutions of the liquid crystal (gradient) flow for the well-known Oseen-Frank model. The liquid crystal flow is a…