PDF, University of California, Santa Barbara
Ph.D., University of California, San Diego
B.Eng, M.A.Sc., University of Victoria
ph: (604) 822-1287
fx: (604) 822-2403
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 behavior 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 behavior of fluids is important in many flows from cells to large engineering processes and an active area of research.
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