# Mathematics Colloquium

#### Biological fluid dynamics at the microscale: nonlinearities in a linear world

**Speaker:**
Lisa Fauci, Tulane

**Location:**
Warren Weaver Hall 1302

**Date:**
Monday, December 11, 2017, 3:45 p.m.

**Synopsis:**

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Phytoplankton moving in the ocean, spermatozoa making their way through the female reproductive tract and bacteria that

swim through pores within soil or sediment interact with a surrounding fluid. Their length scales are

small enough so that viscous effects dominate inertial effects allowing the resulting fluid dynamics to

be described by the linear Stokes equations. However, nonlinear behavior can occur because these structures are flexible and their form evolves with the flow.

In addition, the fluid environment may also be complex because of embedded microstructures that further

complicate the dynamics. We will discuss recent successes and challenges in describing these elastohydrodynamic systems.

be described by the linear Stokes equations. However, nonlinear behavior can occur because these structures are flexible and their form evolves with the flow.

In addition, the fluid environment may also be complex because of embedded microstructures that further

complicate the dynamics. We will discuss recent successes and challenges in describing these elastohydrodynamic systems.