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Research Profiles

 

Shahrdad G. Sajjadi, Director of Research
Dr. Sajjadi has made significant contributions to the field of turbulence modeling, including models of arterial flow and air-sea interaction. Formerly director of the Center for Computation at the University of Manchester and the Applied Mathematics Center at NASA-Stennis, he has published on a wide range of topics in applied mathematics. Since joining Embry-Riddle in 2004, he has applied tools from asymptotic analysis to explore nonlinear wave phenomena in a variety of physical settings.

James S. Howland, Department Chair
Dr. Howland studied at the University of Florida and the California Institute of Technology and holds the Ph.D. in mathematics from the University of California, Berkeley. He was formerly Professor of Mathematics and department chair at the University of Virginia, and has held visiting appointments at Stanford and Cal Tech. Jim is a specialist in operator theory and functional analysis, with emphasis on problems of nonrelativistic quantum mechanics. He has been the recipieent of many NSF grants, and joined Embry-Riddle as professor and chair in 2010.

Gregory S. Spradlin
Dr. Spradlin joined the Embry-Riddle Faculty in 2000, and has used variational methods and the tools of functional analysis to explore the existence and uniqueness of solutions to differential equations modeling wave phenomena. He has also developed conflict models extending the groundbreaking work on the mathematics of warfare by L.F. Richardson

Stefan Mancas
Since joining the department in 2007, Dr. Mancas has made signficant progress in developing a theoretical framework for analyzing the strongly amplitude– modulated numerical pulse soliton solutions recently observed in the complex cubic–quintic Ginzburg–Landau equation. The framework allows a comprehensive analysis of various bifurcations leading to transitions from one type of coherent structure to another as the system parameters in the CGLE are varied.This area of research
has important applications to nonlinear optical systems, hydrodynamics, gas discharges and semiconductors.

Timothy A. Smith
Dr. Smith joined the mathematics department in 2006 and has identified conditions for existence and uniqueness for variations of the important KdV and BBM equations, characterizing long waves in shallow water. Tim has identified existence of solutions for these equations considering effects of viscosity, and has obtained results for nonlinear generalizations. Inn addition, Tim has published on other topics in the analysis of higher order nonlinear hyperbolic partial differential equations

Frederique Drullion
Dr. Drullion came to Embry-Riddle from a post-doctoral appointment at the University of Florida in 2005, where she focused on hurricane modeling, with an emphasis on modeling storm surge. While maintaining those interests, Frederique has since developed an impressive three-dimensional tornado model in the presence of bluff bodies (man-made structures), and is currently exploring further refinements to the model.

Harihar Khanal
Dr. Khanal joined the department in 2003 from the University of Tennessee, where he developed computational models of spatio-temporal signaling in rod phototransduction. Harihar has since collaborated with a number of faculty members in providing numerical simulations of wind-generated solitary waves, and simulations of various soliton solutions of the Ginzburg-Landau equation.

David L. Ross
Professor Ross has been a member of the mathematics department since 1981. He has been involved in a number of industrial projects for NASA, FAA, and the Flight Safety Foundation. These projects mostly involved Risk Analysis, Process Control, and Optimization modeling. Most recently, David has focused on stability criteria for water waves in the presence of a disturbance, considering higher harmonics..



For more information, contact Dr.Shahrdad Sajjadi, Director of Research, at sajja8b5@erau.edu

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