Professor of Mathematics
Fields of work: Pure and applied mathematics, physics and biology. Specific areas: Differential equations, integrable systems, acoustic and electromagnetic scattering (especially transmission anomalies and resonances), photonic crystals, exciton polaritons and micromagnetics.
Invited as one of the three Abel lecturers in the award of the Abel Prize to Peter Lax, The Norwegian Academy of Science and Letters, Oslo, Norway, May 2005
Appointments and Affiliations
- Professor of Mathematics
- Office Location: 120 Science Drive, Durham, NC 27708, Durham, NC 27708
- Office Phone: (919) 660-2815
- Email Address: email@example.com
- Ph.D. New York University, 1982
- M.S. Georgia Institute of Technology, 1979
- B.S. National Technical University of Athens (Greece), 1969
This area of physics deals with the magnetic behaviors at micrometer and sub-micrometer length scales. The area is of significant scientific and technological importance and involves challenging mathematical questions. The theory includes the statics and dynamics of topological configurations, e.g.
magnetic vortex and antivortex states as well as skyrmion states. I am working collaboratively on the mathematical derivation of skyrmion profiles and behaviors and currently on skyrmion dynamics. Skyrmions are localized structures of magnetization on a thin plate of a ferromagnetic or antiferromagnetic medium. They can be stationary, traveling or breathing (pulsating). The mathematical study seeks to explain experimental results, or discover new phenomena and is assisted by numerical experiments. Besides single skyrmions, our study encompases skyrmion collisions, which exhibit the interesting behavior of ninety degree scattering.
ACOUSTIC AND ELECTROMAGNETIC SCATTERING: THEORETICAL AND COMPUTATIONAL
The study encompasses acoustic and electromagnetic scattering from a spatially periodic geometry and combines mathematical analysis with numerical calculations.
- MATH 353: Ordinary and Partial Differential Equations
- MATH 453: Introduction to Partial Differential Equations
- MATH 753: Ordinary and Partial Differential Equations
- MATH 754: Introduction to Partial Differential Equations
- Komineas, S; Melcher, C; Venakides, S, Chiral skyrmions of large radius, Physica D: Nonlinear Phenomena, vol 418 (2021) [10.1016/j.physd.2020.132842] [abs].