169 citations · 845 across the 56 of their papers we have counts for
56 papers
On a variational problem of nematic liquid crystal droplets
Qinfeng Li, Changyou Wang
Let be a fixed constant, and we prove that minimizers to the following energy functional \begin{align*} E_f(u,Ω):=\int_Ω|\nabla u|^2+μP(Ω) \end{align*}exist among pairs $(Ω,u…
The Aronsson Equation for Absolute Minimizers of Supremal Functionals in Carnot-Carathéodory Spaces
Andrea Pinamonti, Simone Verzellesi, Changyou Wang
Given a family of vector fields which induces a continuous Carnot-Carathéodory distance, we show that any absolute minimizer of a supremal functional defined by…
Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary
Ali Hyder, Antonio Segatti, Yannick Sire +1
We introduce a heat flow associated to half-harmonic maps, which have been introduced by Da Lio and Rivière. Those maps exhibit integrability by compensation in one space dimension…
Global weak solutions to the Stochastic Ericksen--Leslie equations in dimension two
Hengrong Du, Changyou Wang
We establish the global existence of weak martingale solutions to the simplified stochastic Ericksen--Leslie system modeling the nematic liquid crystal flow driven by Wiener-type n…
Isotropic-Nematic Phase Transition and Liquid Crystal Droplets
Fanghua Lin, Changyou Wang
Liquid crystal droplets are of great interest from physics and applications. Rigorous mathematical analysis is challenging as the problem involves harmonic maps (and in general the…
Compactness of -uniform domains and optimal thermal insulation problems
Hengrong Du, Qinfeng Li, Changyou Wang
In this paper, we will consider an optimal shape problem of heat insulation introduced by Bucur-Buttazzo-Nitsch. We will establish the existence of optimal shapes in the class of $…