Monday, March 30, 2015 at 3:00 PM in SAS 2102
Jeff Humpherys, Brigham Young University
Evans function computation and the stability of traveling waves
We discuss the Evans function and its usefulness in the study of traveling wave stability. We give a historical overview of the computational methods used to compute the Evans function, together with a discussion of the challenges and pitfalls that can arise and how to overcome them. The Evans function is most useful when combined with analytical methods. We show a few examples where this combination has been very successful. This talk will be accessible to advanced undergrads and graduate students.
Wednesday, April 1, 2015 at 3:00 PM in SAS 4201
Alethea Barbaro, Case Western Reserve University
Kinetic flocking models and phase transitions
Flocking models abound in the recent mathematical and scientific literature. These models can be applied to social animals which exhibit collective behavior and have been applied to the movement of fish, birds, and even occasionally to humans. The most common of these models are the Vicsek model and the Cucker-Smale model, which can both be studied at the microscopic, kinetic, and hydrodynamic levels. In this talk, we will begin with an application of a microscopic flocking model to a species of fish in the North Atlantic. We will then continue on to examine similar models at the kinetic and hydrodynamic scales, showing that there is a phase transition between a polarized migratory phase and a disorganized swarming phase as the magnitude of noise varies.
Wednesday, April 8, 2015 at 3:00 PM in SAS 4201
Justin Webster, NC State
Wednesday, April 22, 2015 at 3:00 PM in SAS 4201
Muhammad Qureshi, NC State
You can add or remove yourself from a seminar mailing list by visiting this link.