18 citations · 52 across the 17 of their papers we have counts for
18 papers
Contact set of solutions to gradient flow of Landau-de Gennes energy with a singular entropy potential
Yuning Liu, Xiang Xu
This paper investigates the convexity structure and contact set of the -tensor flow with anisotropic Landau--de Gennes elastic energy and a singular entropy potential . Th…
Existence of curvature flow with forcing in a critical Sobolev space
Yuning Liu, Yoshihiro Tonegawa
Suppose that a closed 1-rectifiable set of finite 1-dimensional Hausdorff measure and a vector field in a dimensionally critical Sobolev space are given…
Phase Transition of Parabolic Ginzburg--Landau Equation with Potentials of High-Dimensional Wells
Yuning Liu
In this work, we study the co-dimensional one interface limit and geometric motions of parabolic Ginzburg--Landau systems with potentials of high-dimensional wells. The main result…
The sharp interface limit of a Navier--Stokes/Allen--Cahn system with constant mobility: Convergence rates by a relative energy approach
Sebastian Hensel, Yuning Liu
We investigate the sharp interface limit of a diffuse interface system that couples the Allen--Cahn equation with the instationary Navier--Stokes system in a bounded domain in $\ma…
Phase transition of anisotropic Ginzburg--Landau equation
Yuning Liu
We study the effective geometric motions of an anisotropic Ginzburg--Landau equation with a small parameter which characterizes the width of the transition layer. F…
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…