Department of Mathematics

Time and Place: Tuesdays 3:05-4:20 pm in Room 0231, Love Building

Course: MAP 6939

Scope: The Applied and Computational Math Seminar is series of talks with various topics covering a broad spectrum of not only applied and computational mathematics but also engineering. Researchers outside of the Department of Mathematics and Florida State University, postdocs and senior Ph.D students are also welcomed to share their work. Please contact the organizer if you wish to schedule your talk. For Spring 2023, contact Kyle Gallivan (gallivan"at"math.fsu.edu)

Abstract: Dispersive hydrodynamics (DH) is the study of nonlinear dispersive wave dynamics in fluid-like media. A fundamental problem in DH corresponds to studying the dynamics of a Riemann problem: a step-like initial condition connecting two constant amplitude states. Such constant-intensity waves are typically absent in Hermitian, inhomogeneous media, but can exist in non-Hermitian optical media. Thus, we can define and study the notion of non-Hermitian dispersive hydrodynamics and its associated Riemann problems in both ordered and disordered optical media for the first time.

Bio: Sathyanarayanan Chandramouli is projected to complete his Ph.D. in Applied and Computational Mathematics in the Spring semester of 2023. He obtained his bachelor's degree in mechanical engineering in India, at BMSCE, Bengaluru. Thereafter, he obtained a Masters's degree in Aerospace engineering at KTH Royal Institute of Technology in Stockholm, Sweden. He has a strong inclination to pursue physically motivated problems: with current interests in the fields of dispersive hydrodynamics and non-Hermitian physics. He is also interested in identifying and characterizing novel phenomena in geophysical fluids, Bose-Einstein condensation, and optics utilizing both asymptotic and computational methods. In the past, he has also gained experience working in Computational fluid dynamics and Aero-acoustics.