Min-Chun Hong

activity

20082024

most citedThe Yang-Mills α-flow in vector bundles over four manifolds and its applications

2 citations · 3 across the 6 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.AP2020

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; $L_{1}$ , $L_{2}$ , $L_{3}$ , $L_{4}$ . For the general cas…

math.AP2018

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 $H^{1} \times H_{b}^{2}$ . In particular, we…

math.AP2017

Finite time blowup of the $n$ -harmonic flow on $n$ -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 $n$ -harmonic flow as $t \to \infty$ . As an application of the no-neck…

math.AP2010

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…

A new representation for the Landau-de Gennes energy of nematic liquid crystals

Convergence of the Ginzburg-Landau approximation for the Ericksen-Leslie system

Finite time blowup of the n-harmonic flow on n-manifolds

Global existence of solutions of the Liquid Crystal flow for the Oseen-Frank model

Finite time blowup of the $n$ -harmonic flow on $n$ -manifolds