6 papers
Dynamic tuning of the director field in liquid crystal shells using block copolymers
JungHyun Noh, Yiwei Wang, Hsin-Ling Liang +4
When a nematic liquid crystal (LC) is confined on a self-closing spherical shell, topological constraints arise with intriguing consequences that depend critically on how the LC is…
A Variational Lagrangian Scheme for a Phase Field Model: A Discrete Energetic Variational Approach
Chun Liu, Yiwei Wang
In this paper, we propose a variational Lagrangian scheme for a modified phase-field model, which can compute the equilibrium states for the original Allen-Cahn type model. Our dis…
Tailored Morphologies in 2D Ferronematic Wells
Konark Bisht, Yiwei Wang, Apala Majumdar +1
We focus on a dilute uniform suspension of magnetic nanoparticles in a nematic-filled micron-sized shallow well with tangent boundary conditions, as a paradigm system with two coup…
On Lagrangian schemes for porous medium type generalized diffusion equations: a discrete energetic variational approach
Chun Liu, Yiwei Wang
In this paper, we present a systematic framework to derive a Lagrangian scheme for porous medium type generalized diffusion equations by employing a discrete energetic variational…
The Well Order Reconstruction Solution for Three-Dimensional Wells, in the Landau-de Gennes theory
Giacomo Canevari, Joseph Harris, Apala Majumdar +1
We study nematic equilibria on three-dimensional square wells, with emphasis on Well Order Reconstruction Solutions (WORS) as a function of the well size, characterized by , and…
Remarks on Uniaxial Solutions in the Landau-de Gennes Theory
Apala Majumdar, Yiwei Wang
We study uniaxial solutions of the Euler-Lagrange equations for a Landau-de Gennes free energy for nematic liquid crystals, with a fourth order bulk potential, with and without ela…