Research and Publications
My research interests are the analysis and computation of partial
differential equations, mathematical materials science, and traffic
modeling. I am currently working with Professor Robert Lipton as a
postdoctoral researcher. Some problems I have worked on are below.
- Alexander Kurganov and A. Polizzi
Non-oscillatory central schemes for
traffic models with Arrhenius look-ahead dynamics.
Networks and Heterogeneous Media, 4 (2009), 431-451.
- Alina Chertock, Alexander Kurganov, A. Polizzi and Ilya
A pedestrian flow model with slowdown
Mathematical Models and Methods in Applied Sciences, 24
(2014) 249 - 275.
- Robert Lipton and A. Polizzi
Tuning gain and bandwidth of traveling
wave tubes using metamaterial beam-wave interaction structures.
Journal of Applied Physics. 116, 144504 (2014)
- R. Lipton, A. Polizzi and Lokendra Thakur
Negative index metamaterial from
perfectly conducting corrugated subwavelength structures
SIAM Journal of Applied Mathematics. vol. 77, issue 4 (2017)
- A. Polizzi and Cody Pond
An asymptotic formula for solutions to a
heterogeneous logistic equation with small diffusion rate.
- Alina Chertock, Alexander Kurganov and A. Polizzi
Multi-class traffic flow model with