The Center for Applied Mathematical Sciences is an organized research unit
based in the Department of Mathematics
The purpose of CAMS is to foster research and graduate education in
Mathematics in a broad sense and in an interdisciplinary mode. One goal
of the center's participants is to facilitate and encourage the development of
applicable mathematics and its utilization in problems in engineering and the
CAMS Prize Winners
Winners of the CAMS Graduate Student Prize for Excellence in Research with a Substantial Mathematical Component.
Panelists: Francis Bonahon, Eric Friedlander, Jason Fulman, Cymra Haskell, Paul SobajeModerator: Kenneth AlexanderAll graduate students and postdocs are encouraged to come and ask questions about positioning themselves for their future careers.
I will discuss mixing of passive scalars by incompressible flows and measures of optimal mixing. In particular, I will present recent results concerning examples of flows that achieve the optimal theoretical rate in the case of flows with prescribed energy or enstrophy budget. These examples are related to loss of regularity for solutions of transport equations.
The appearance of a boundary layer (BL) is a ubiquitous phenomenon in applied mathematics: a BL occurs when the presence of a small parameter causes a sharp transition between the perturbed and the unperturbed regime. The concept of BL was introduced by Ludwig Prandtl to give an explanation to D'Alembert's paradox; Prandtl's 1904 paper would prove to be one of the most important fluid dynamics paper ever written. However, despite...