Efficient and accurate fracture modeling is of great importance in applications where
catastrophic outcomes under extreme scenarios are possible. The phase-field (PF) …

Mathematical studies of nematic liquid crystals address in general two rather different
perspectives: that of fluid mechanics and that of calculus of variations. The former focuses on …

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We consider energy minimizing configurations of a nematic liquid crystal around a spherical
colloid particle, in the context of the Landau–de Gennes model. The nematic is assumed to …

We examine topological solitons in a minimal variational model for a chiral magnet, so-
called chiral skyrmions. In the regime of large background fields, we prove linear stability of …

We provide necessary and sufficient conditions for the uniqueness of minimisers of the
Ginzburg-Landau functional for $\mathbb {R}^ n $-valued maps under a suitable convexity …

Local minimality of RN -valued and SN -valued Ginzburg–Landau vortex solutions in the unit
ball BN Page 1 Ann. Inst. H. PoincarÈ Anal. Non LinÈaire (Online first) DOI 10.4171/AIHPC/84 …

We prove a\varGamma Γ-convergence result for a class of Ginzburg–Landau type
functionals with N N-well potentials, where NN is a closed and (k-2)(k-2)-connected …

We consider the two-dimensional (2D) Landau–de Gennes energy with several elastic
constants, subject to general k-radially symmetric boundary conditions. We show that for …

We consider a nematic liquid crystal occupying the exterior region in R^ 3 R 3 outside of a
spherical particle, with radial strong anchoring. Within the context of the Landau-de Gennes …