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math.AP2024
Behavior of Absorbing and Generating -Robin Eigenvalues in Bounded and Exterior Domains
Lukas Bundrock, Tiziana Giorgi, Robert Smits
We establish rigorous quantitative inequalities for the first eigenvalue of the generalized -Robin problem, for both the classical diffusion absorption case, where the Robin bou…
math.AP2015
Sawtooth profile in smectic A liquid crystals
Carlos J. Garcia-Cervera, Tiziana Giorgi, Sookyung Joo
We study the de Gennes free energy for smectic A liquid crystals over -valued vector fields to understand the chevron (zigzag) pattern formed in the presence of an ap…
math.AP1999
Vortex Structures for an SO(5) Model of High-T_C Superconductivity and Antiferromagnetism
S. Alama, L. Bronsard, T. Giorgi
We study the structure of symmetric vortices in a Ginzburg-Landau model based on S. C. Zhang's SO(5) theory of high temperature superconductivity and antiferromagnetism. We conside…