Dr. Tiziana Giorgi

  • Professor
  • Department of Mathematical Sciences
  • New Mexico State University

Contact Information:

  • tgiorgi@math.nmsu.edu
  • Office: Science Hall Room 233
  • Phone: (575) 646 2717


Research Interests

Nonlinear partial differential equations, applied mathematics, soft matter systems, superconductivity, liquid crystals

Current lines of research include:
  1. Mathematical analysis of liquid crystalline phase transitions as modeled by Landau-de Gennes type phenomenological energy functionals, with an emphasis on smectic and bent core molecules liquid crystals. The intent of the research is to validate and refine theoretical models available in the physics literature. Specific topics include formation of bulk chevron structures under magnetic field in Smectic A liquid crystals, switching behaviors of polarization vectors in bent-core liquid crystals and de Vries liquid crystals macroscopic models.
  2. The Ginzburg-Landau theory of superconductivity describes the physical properties of interest for low temperature superconductors. The study of generalized forms of the Ginzburg-Landau energy functional, and of the systems which arise using calculus of variations, presents interesting problems, both from the physical, since there is an interest in extending such theory to the high temperature superconductors, and the mathematical, for the difficulties in the analysis of the nonlinear equations derived, point of views.

Levitating superconductor courtesy of Georgia E. Smits
Last update by Tiziana Giorgi April 13, 2016
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