Ellen
R. Peterson

Center for Nonlinear Analysis

RTG Postdoctoral Associate

Center for Nonlinear Analysis

RTG Postdoctoral Associate

Office: Wean Hall 7122

Phone: 412-268-2162

email: ellenp@andrew.cmu.edu

Phone: 412-268-2162

email: ellenp@andrew.cmu.edu

Teaching:

Math 21-369: Numerical Methods

Time: Monday, Wednesday, Friday 12:30-1:20

Room: Porter Hall A18A

This course provides an introduction to the use of computers to solve scientific problems. A variety of numerical algorithms and applications will be discussed. In-class demonstrations and examples will be presented using MATLAB.

CV

Research:

My research interests include the dynamics of fluid flow, specifically thin liquid films. My PhD thesis focused on the spreading of an initially uniform layer of liquid driven by surfactant (a surface tension reducing agent). I investigated this problem using numerical techniques and asymptotic methods. We also compared the mathematical model, a fourth order nonlinear PDE system of equations: one equation for the height of the film and another for the surfactant concentration, to experimental results.

I am currently examing the flow of a thin film when a droplet of another substance is deposited. This problem encorporates various issues including the non-newtonian behavior of the underlying film and that the droplet carries soluble surfactant. This work is in collaboration with the Interfacial Physics Group at Carnegie Mellon. We are investigating the spreading of an aerosol medicine in the lungs as a treatment for cystic fibrosis.

Publications:

- E. R. Peterson, M. Shearer, Radial Spreading of Surfactant on a
Thin Liquid Film, Applied Mathematics Research Express, 2010.

- E. Peterson, M. Shearer, T. Witelski, R. Levy, Stability of Traveling Waves in Thin Liquid Films Driven by Gravity and Surfactant, Proceedings, Proceedings of Symposia in Applied Mathematics, Vol 67, No 2, 855-868, 2009.
- A. Denies, E. Peterson, D. Boeckner, J. Boyle, A. Keighley, J. Kogut, J. Lubben, R. Rebarber, R. Ryan, B. Tenhumberg, S. Townley, A.J. Tyre, Robust Population Management Under Uncertainty for Structured Populations Models, Ecological Applications, Vol 12, No. 8, pp. 2175-2183, 2007

Education:

- Ph.D. in Applied Mathematics from North Carolina State University, Raleigh, NC, August 2010
- Flow of Thin Liquid Films with Surfactant: Analysis, Numerics, and Experiment
- Advisor: Michael Shearer

- M.S. in Applied Mathematics from North Carolina State Univeristy, Raleigh, NC, May 2009
- B.S. in Mathematics from Wittenberg University, Springfield, OH,
May 2006