29 citations · 52 across the 12 of their papers we have counts for
4 papers · 1 filter
The onset of layer undulations in smectic A liquid crystals due to a strong magnetic field
A. Contreras, C. García-Azpeitia, C. J. García-Cervera +1
We investigate the effect of a strong magnetic field on a three dimensional smectic A liquid crystal. We identify a critical field above which the uniform layered state loses stabi…
Global bifurcation of vortex and dipole solutions in Bose-Einstein condensates
Andres Contreras, Carlos García-Azpeitia
The Gross-Pitaevskii equation for a Bose-Einstein condensate (BEC) with symmetric harmonic trap is given in (1). Periodic solutions of (1) play an important role in the understandi…
Boundary regularity of weakly anchored harmonic maps
Andres Contreras, Xavier Lamy, Rémy Rodiac
In this note we study the boundary regularity of minimizers of a family of weak anchoring energies that model the states of liquid crystals. We establish optimal boundary regularit…
A Degenerate Isoperimetric Problem and Traveling Waves to a Bi-stable Hamiltonian System
Stan Alama, Lia Bronsard, Andres Contreras +2
We analyze a non-standard isoperimetric problem in the plane associated with a metric having degenerate conformal factor at two points. Under certain assumptions on the conformal f…