Luciano Medina ,
Ph.D.

Lecturer

Luciano Medina

Research Interests: Nonlinear Partial Differential Equations of Mathematical Physics, Gauge Field Theory, Pull in Phenomenon in MEM/NEMs Devices, Chaotic Dynamics of Tumor Growth Models, DNA Dynamics, Optical Vortex Solitons

New York University, 2014
Doctor of Philosophy, Mathematics

Polytechnic University, 2008
Bachelor of Science, Electrical Engineering

Polytechnic Institute of New York University, 2010
Master of Science, Mathematics


Journal Articles

"On the existence of optical vortex solitons propagating in saturable nonlinear media", Journal of Mathematical Physics (2017) DOI: http://dx.doi.org/10.1063/1.4974316

"Pull-in Curves of MEMS Actuators in Presence of Casimir Force: Analysis and Computation", Zeitschrift für Angewandte Mathematik und Mechanik(2016) [with Brenda McLellan, Chenmei Xu, and Yisong Yang]. DOI: 10.1002/zamm.201500013

"Vortex Equations Governing the Fractional Quantum Hall Effect"Journal of Mathematical Physics (2015) DOI: http://dx.doi.org/10.1063/1.4931660

"Universal curve, biological time, and dynamically varying scaling exponent in growth law", Nonlinear Analysis: Real World Applications (2010) [with Yisong Yang] DOI: http://dx.doi.org/10.1016/j.nonrwa.2008.11.011