Mathematical Sciences Colloquium Series, Arnd Scheel
- Thursday, April 30, 2015 at 4:00pm
- Strand Union Building - view map
Since D’Arcy Thompson wrote his influential treatise “On growth and form,” now 100 years ago, much more is understood about the mechanisms that lead to some of the beautiful patterns observed in nature. This talk will describe a few examples, including phyllotactic growth, bacterial colony formation and recurrent precipitation (Liesegang’s patterns), that share a common feature: the interplay of growth and pattern forming processes. This interplay poses challenges for scientists trying to model and predict phenomena, but also leads to promising engineering strategies, for instance in the manufacturing of nanodot arrays. Rather than dwelling on microscopic details in the physical or biological modeling of these processes, the talk will try to show in examples how mathematics can exhibit simple, universal mechanisms, often hidden in complex models, that can produce a vast array of beautiful patterns. A leitmotiv will be the description of fronts that select patterns in their wake, their bifurcations and their universal scaling laws.
Dr. Arnd Scheel is a world-renowned leader in the study of pattern formation and nonlinear waves in partial differential equations. He is currently the Associate Department Head for the School of Mathematics at the University of Minnesota, and was formerly the Deputy Director for the Institute for Mathematics and its Applications. He is the recipient of the J.D. Crawford Prize from the Society for Industrial and Applied Mathematics (SIAM), recognized “for his transformative work on planar defects, on structures generated by inhomogeneities in oscillatory media, and on stability for almost planar fronts and viscous shocks, and for explaining intriguing experimental results and discovering new patterns in the process.” Additionally, he is Editor-in-Chief for the SIAM Journal on Mathematical Analysis, and editor for many other leading applied mathematics journals.
Sponsored by the Department of Mathematical Sciences, Dean of the College of Letters and Science and the Vice President for Research and Economic Development.
Free and open to the public
- Department of Mathematical Sciences