P. Bauman

activity

20112021

most citedAnalysis of Nematic Liquid Crystals with Disclination Lines

66 citations · 67 across the 4 of their papers we have counts for

collaborators

5 papers

math.AP2021

Regularity of Minimizers for a General Class of Constrained Energies in Two-Dimensional Domains with Applications to Liquid Crystals

Patricia Bauman, Daniel Phillips

We investigate minimizers defined on a bounded domain $Ω$ in $R^{2}$ for singular constrained energy functionals that include Ball and Majumdar's modification of the Landau-…

math.AP2017

Higher dimensional Ginzburg-Landau equations under weak anchoring boundary conditions

Patricia Bauman, Daniel Phillips, Changyou Wang

For $n \geq 3$ and $0 < ε \leq 1$ , let $Ω \subset R^{n}$ be a bounded smooth domain and $u_{ε} : Ω \subset R^{n} \to R^{2}$ solve the Ginzburg-Landau equation under the weak anchoring…

math.AP2015

Regularity and the Behavior of Eigenvalues for Minimizers of a Constrained $Q$ -tensor Energy for Liquid Crystals

Patricia Bauman, Daniel Phillips

We investigate minimizers defined on a bounded domain in $R^{2}$ for the Maier--Saupe Q--tensor energy used to characterize nematic liquid crystal configurations. The energy…

math.AP2014★ 1 cited

Analysis of Minimizers of the Lawrence-Doniach Energy for Superconductors in Applied Fields

Patricia Bauman, Guanying Peng

We analyze minimizers of the Lawrence-Doniach energy for layered superconductors occupying a bounded generalized cylinder, $Ω \times [0, L]$ , in $R^{3}$ , where $Ω$ is a bounde…

math.AP2011★ 66 cited

Analysis of Nematic Liquid Crystals with Disclination Lines

P. Bauman, J. Park, D. Phillips

We investigate the structure of nematic liquid crystal thin films described by the Landau--de Gennes tensor-valued order parameter with Dirichlet boundary conditions of nonzero deg…