4 papers
Existence and convergence of the Beris-Edwards system with general Landau-de Gennes energy
Zhewen Feng, Min-Chun Hong, Yu Mei
In this paper, we investigate the Beris-Edwards system for both biaxial and uniaxial -tensors with a general Landau-de Gennes energy density depending on four non-zero elastic c…
Existence of minimizers and convergence of critical points for a new Landau-de Gennes energy functional in nematic liquid crystals
Zhewen Feng, Min-Chun Hong
The Landau-de Gennes energy in nematic liquid crystals depends on four elastic constants , , , . In the case of , Ball and Majumdar (Mol. Cryst. Liq.…
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…