### Publications

**Partial Differential Equations: Introduction to Theory and Applications**, M. Shearer and R. Levy, Princeton University Press, 2015.- Probing the Flipped Classroom: Results of A Controlled Study of Teaching and Learning Outcomes in Undergraduate Engineering and Mathematics, 2016 ASEE Annual Conference & Exposition, Accepted, November 2015.
- Teague, Dan, Fowler, Kathleen and Levy, Rachel "The GAIMME Report: Mathematical Modeling in the K-16 Curriculum" Annual Perspectives in Mathematics Education (APME) 2016: Mathematical Modeling and Modeling Mathematics, National Council of Teachers of Mathematics, Accepted, October 2015.
- Turner, Peter, Levy, Rachel and Fowler, Kathleen, Collaboration in the Mathematical Sciences Community on Modeling Across the Curriculum, for Chance Magazine, Accepted, May 2015
**Industrial Mathematics Inspires Mathematical Modeling Tasks with High Cognitive Demand**in the*Princeton Companion to Applied Mathematics*, 2015.-
**Two fluid flow in a capillary tube**, Strait, Melissa, Michael Shearer, Rachel Levy, Luis Cueto-Felgueroso, and Ruben Juanes,*Collaborative Mathematics and Statistics Research*, pp. 149-161. Springer International Publishing, 2015. **Why No Difference? A Controlled Flipped Classroom Study for an Introductory Differential Equations Course,**Yong, Darryl, Rachel Levy and Nancy Lape, PRIMUS, 2015.-
**Pulmonary Fluid Flow Challenges for Experimental and Mathematical Modeling,**Levy, Rachel, David B. Hill, M. Gregory Forest, and James B. Grotberg. Integrative and comparative biology 54, no. 6 (2014): 985-1000. doi:10.1093/icb/icu107 **Surface-Tension Phenomena in Organismal Biology: An Introduction to the Symposium.**Bourouiba, Lydia, David L. Hu, and Rachel Levy,*Integrative and comparative biology*(2014): icu113.**Can Flipped Classrooms Help Students Learn? We're Trying to Find Out,**Lape, Nancy K., Rachel Levy, and Darryl Yong,*Slate,*Future Tense, April 25 2014 10:33 AM. http://www.slate.com/articles/technology/future_tense/2014/04/flipped_classrooms_can_they_help_students_learn.html**Every Math Major Should Take a Public Speaking Course,**Math Horizons, Wednesday, April 2, 2014.**Self-healing dynamics of surfactant coatings on thin viscous films**Strickland, Stephen L., Matthew Hin, M. Richard Sayanagi, Cameron Gaebler, Karen E. Daniels, and Rachel Levy,*Physics of Fluids*(1994-present) 26, no. 4 (2014): 042109. http://dx.doi.org/10.1063/1.4872020.**Postdoc Mentorship Can Launch Careers**,*American Scientist*, Vol. 102, No. 6, November-December 2014, DOI: 10.1511/2014.111.418.**Nonlinear High Order PDE Systems: Methodology and a Clawpack library**, Claridge, Jonathan, Rachel Levy and Jeffrey Wong*, Solving (open access paper and code on GitHub 2013).https://github.com/claridge/implicit_solvers**Flukeprints of Cetaceans and the Corresponding Shear Flow Phenomena**Rousseaux, Germain, David Uminsky and Rachel Levy, proceedings of the International Symposium on Turbulence and Shear Flow Phenomena (TSFP8), Poitiers, France, August 28-30 (2013). http://www.tsfp-conference.org/index.php/proceedings**Quantitative Approaches to Sustainability Seminars**,*AMS Notices*Vol. 60, No. 4, (2013).**Soap and Slope: Mathematical Adventures in Fluid Dynamics***The Mathematics Teacher*Vol. 107, No. 5, 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).