Assistant Professor, B.Eng, M.A.Sc., (University of Victoria), Ph.D., (University of California, San Diego), PDF, (University of California, Santa Barbara)
My research involves using the methods of applied mathematics, typically asymptotic analysis or numerical methods, to solve problems in science and engineering, often in collaboration with or inspired by experimentalists. My current research interests include:
- Theoretical Fluid Mechanics
- Complex Fluids
- Cell Biomechanics
- Capillary Phenomena
- Applied Mathematics
Current Research Work
Biological Fluid Mechanics
A bulk of my work has been on the mechanics of bio-locomotion and cell-cell interactions, studying how cells swim, how they can deform one another passively via fluid-structure interactions when in close proximity and how this affects collective motility. I am also interested in how active particles, such as swimming cells, affect the mechanical properties of fluids.
Even though the equations governing capillary phenomena can be quite simple, the behaviour of interfacial systems can be both rich and mysterious. My recent work in this area explored an experimentally observed shape instability of squeezed droplets. In particular it was shown that if the droplet is sufficiently compressed at the top by a surface, it may develop a buckling instability at a critical compression.
Determining how to properly capture non-Newtonian effects and how they affect the behaviour of fluids is important in many flows from cells to large engineering processes and an active area of research.
- G. J. Elfring, E. Lauga, “Theory of locomotion in complex fluids,” Complex Fluids in Biological Systems, Springer, pp. 285–319, 2014.
- G. J. Elfring and E. Lauga, “Buckling instability of squeezed droplets,” Physics of Fluids, vol. 24, no. 7, p. 072102, 2012.
- G. J. Elfring and E. Lauga, “Passive hydrodynamic synchronization of two-dimensional swimming cells,” Physics of Fluids, vol. 23, no. 1, p. 011902, 2011.
- G. J. Elfring and E. Lauga, “Synchronization of flexible sheets,” Journal of Fluid Mechanics, vol. 674, pp. 163–173, 2011.
- M. Sauzade, G. J. Elfring, and E. Lauga, “Taylor’s swimming sheet: Analysis and improvement of the perturbation series,” Physica D: Nonlinear Phenomena, vol. 240, no. 20, pp. 1567–1573, 2011.
- G. J. Elfring, O. S. Pak, and E. Lauga, “Two-dimensional flagellar synchronization in viscoelastic fluids,” Journal of Fluid Mechanics, vol. 646, pp. 505 515, 2010.
- G. J. Elfring, and E. Lauga, “Synchronization of swimming microorganisms” Physical Review Letters, vol. 103, pp. 088101, 2009.