Lia Bronsard

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math.AP2025

Interaction energies in nematic liquid crystal suspensions

Lia Bronsard, Xavier Lamy, Dominik Stantejsky +1

We establish, as $ρ \to 0$ , an asymptotic expansion for the minimal Dirichlet energy of $S^{2}$ -valued maps outside a finite number of three-dimensional particles of size $ρ$ …

math.AP2025

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…