2 citations · 3 across the 11 of their papers we have counts for
12 papers
A priori estimates and compactness for anisotropic Ginzburg-Landau minimizers with tangential anchoring
Lia Bronsard, Andrew Colinet, Dominik Stantejsky +1
We consider minimizers of the Ginzburg-Landau energy with quadratic divergence or curl penalization on a simply-connected two-dimensional domain . On the boundar…
Symmetry breaking in the liquid drop model with screened interactions
Lia Bronsard, Benoît Merlet, Marc Pegon
We investigate liquid drop models with screened Riesz-type interactions, focusing in particular on truncated Coulomb and Yukawa potentials in three dimensions. While in the classic…
Minimizing solutions of degenerate Allen-Cahn equations with three wells in
Lia Bronsard, Étienne Sandier, Peter Sternberg
We characterize all minimizers of the vector-valued Allen-Cahn equation in under the assumption that the potential has three wells and that the associated degene…
Compensation effects for anisotropic energies of two-dimensional unit vector fields
Lia Bronsard, Dmitry Golovaty, Xavier Lamy +1
We study the highly anisotropic energy of two-dimensional unit vector fields given by \begin{align*} E_ε(u)= \int_Ω (\mathrm{div}\,u)^2 + ε(\mathrm{curl}\,u)^2\, dx\,, \quad u\colo…
On the non-uniqueness of locally minimizing clusters via singular cones
Lia Bronsard, Robin Neumayer, Michael Novack +1
We construct partitions of into three sets that locally minimize interfacial area among compactly supported volume…
Interaction energies in nematic liquid crystal suspensions
Lia Bronsard, Xavier Lamy, Dominik Stantejsky +1
We establish, as , an asymptotic expansion for the minimal Dirichlet energy of -valued maps outside a finite number of three-dimensional particles of size …
Minimizing Harmonic Maps on the Unit Ball with Tangential Anchoring
Lia Bronsard, Andrew Colinet, Dominik Stantejsky
Since the seminal work of Schoen-Uhlenbeck, many authors have studied properties of harmonic maps satisfying Dirichlet boundary conditions. In this article, we instead investigate…
On a Divergence Penalized Landau-de Gennes Model
Lia Bronsard, Jinqi Chen, Léa Mazzouza +4
We give a brief introduction to a divergence penalized Landau-de Gennes functional as a toy model for the study of nematic liquid crystal with colloid inclusion, in the case of une…
Asymptotics for Minimizers of Landau-de Gennes with a Magnetic Field and Tangential Anchoring
Lia Bronsard, Dean Louizos, Dominik Stantejsky
In this article we prove existence of minimizers of the Landau-de Gennes energy for liquid crystals with homogeneous external magnetic field and strong uniaxial planar anchoring. N…
A priori bound for Ginzburg-Landau energy minimizers with divergence penalization
Lia Bronsard, Andrew Colinet, Dominik Stantejsky
We consider minimizers of the Ginzburg-Landau energy with quadratic divergence penalization on a simply-connected two-dimensional domain . On the boundary, stron…
Spherical Particle in Nematic Liquid Crystal with a Magnetic Field and Planar Anchoring
Lia Bronsard, Dean Louizos, Dominik Stantejsky
We study minimizers of the Landau-de Gennes energy in with external magnetic field in the large particle limit. We impose strong tangential anchoring…
An Infinite Double Bubble Theorem
Lia Bronsard, Michael Novack
The classical double bubble theorem characterizes the minimizing partitions of into three chambers, two of which have prescribed finite volume. In this paper we prov…