Publications
- Industrial Mathematics Inspires Mathematical Modeling Tasks with High Cognitive Demand to appear in the Princeton Companion to Applied Mathematics (2013).
- Quantitative Approaches to Sustainability Seminars, to appear in the AMS Notices (2013).
- Soap and Slope: Mathematical Adventures in Fluid Dynamics to appear in The Mathematics Teacher NCTM (2013).
- Formation of Ocean Surface Patterns by Cetacean Fluke Oscillations with D. Uminsky, IMA Volume on Natural Locomotion in Fluids and on Surfaces: Swimming, Flying, and Sliding (2012).
- Cooperative Search with Autonomous Vehicles in a 3D Aquatic Testbed, Proceedings of the 2012 American Control Conference with Matthew Keeter (HMC 2011), Daniel Moore (HMC 2011), Ryan Muller (HMC 2011), Eric Nieters (HMC 2011), Jennifer Flenner, Susan Martonosi, Andrea Bertozzi, Allon Percus (2012).
- Engineering flow states with localized forcing in a thin, Marangoni-driven inclined film, with S. Rosenthal (HMC Physics 2009) and J. Wong (HMC Mathematics 2011), Phys Rev E., Volume 82, issue 5, pp. 056320,1-12 (2010).
- A theory for the hydrodynamic origin of whale flukeprints, with David Uminsky (UCLA Postdoc, HMC Mathematics 2003), Journal of Nonlinear Mechanics on Biological Structures, special issue on Biological Structures, doi:10.1016/j.ijnonlinmec.2010.12.009 (2010).
- Self-similarity in particle-laden flows at constant volume, with N. Grunewald, M. Mata, T. Ward and A. Bertozzi, Journal of Engineering Mathematics, Vol 66, No 1-3 (2009).
- Stability of traveling waves in thin liquid films driven by gravity and surfactant, with E. Peterson, M. Shearer, T. Witelski, Proceedings, 12th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Hyp 2008 (2009).
- Gravity-driven thin liquid films with insoluble surfactant: smooth traveling waves, with M. Shearer and T. P. Witelski, European Journal of Applied Mathematics (2007).
- Automated review of prerequisite material for intermediate-level undergraduate mathematics, with P. Taylor and M. Shearer, PRIMUS, Volume 17, Issue 2 pp. 167 - 180 (2007).
- Growing surfactant waves in thin liquid films driven by gravity, with T. P. Witelski and M. Shearer, Applied Mathematics Research Express, vol. 2006, no. 15487, pp. 1-21 (2006).
- The motion of a thin film driven by surfactant and gravity, with M. Shearer, SIAM Journal of Applied Mathematics, vol. 66 no. 5, pp. 1588-1609 (2006).
- Communicating applied mathematics: four examples, with I. Ipsen, D. Finkel, C. Kuster, M. Lasater, and J. Reese, SIAM Review, 48(2):359-389 (2006).
- Kinetics and nucleation for driven thin film flow, with M. Shearer, Physica D 209, no. 1-4, 145-163 (2005).
- Comparison of two dynamic contact line models for driven thin liquid films, with M. Shearer, European Journal of Applied Mathematics 15, no. 6, 625-642 (2004).
- Modeling control of HIV infection through structured treatment interruptions with recommendations for experimental protocol, with S. Kubiak, H. Lehr, T. Moeller, A. Parker, and E.Swim. NCSU Center for Research in Scientific Computing technical report CRSC-TR01-27 (2001).