2 citations · 2 across the 3 of their papers we have counts for
5 papers · 1 filter
Regularity of a gradient flow generated by the anisotropic Landau-de Gennes energy with a singular potential
Yuning Liu, Xinyang Lu, Xiang Xu
In this paper we study a gradient flow generated by the Landau-de Gennes free energy that describes nematic liquid crystal configurations in the space of -tensors. This free ene…
Nematic-Isotropic phase transition in Liquid crystals: a variational derivation of effective geometric motions
Tim Laux, Yuning Liu
In this work, we study the nematic-isotropic phase transition based on the dynamics of the Landau--De Gennes theory of liquid crystals. At the critical temperature, the Landau--De…
Phase-field approximation of the Willmore flow
Mingwen Fei, Yuning Liu
We investigate the phase-field approximation of the Willmore flow. This is a fourth-order diffusion equation with a parameter that is proportional to the thickness of the dif…
Control of harmonic map heat flow with an external field
Yuning Liu
We investigate the control problem of harmonic map heat flow by means of an external magnetic field. In contrast to the situation of a parabolic system with internal or boundary co…
The small Deborah number limit of the Doi-Onsager equation without hydrodynamics
Yuning Liu, Wei Wang
We study the small Deborah number limit of the Doi-Onsager equation for the dynamics of nematic liquid crystals without hydrodynamics. This is a Smoluchowski-type equation that cha…