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.
In the late 60s a new area emerged in mathematical physics known as "Integrable Systems". Ideas and techniques of "Integrability" have had a significant impact in several areas of mathematics, science and engineering, from the proof of the Schottky problem in algebraic geometry, to optical communications. In this lecture, two such implications will be reviewed: (a) A novel method for analysing boundary value problems, which unifies...
In the past decade, the study of the fluid dynamics of swimming organisms has flourished. With the possibility of using fabricated robotic micro swimmers for drug delivery, or harnessing the power of natural microorganisms to transport loads, the need for a full description of flow properties is evident. At a larger scale, the swimming of a simple vertebrate, the lamprey, can shed light on the coupling of neural signals to muscle...
Periodic waves are important features of solutions of nonlinear evolution systems in such varied contexts as optics, hydrodynamics, and reaction diffusion.A formal description of their behavior under perturbation is given by WKB expansion in terms of modulations in phase and local waveform, as pioneered by Whitham, Howard-Kopell, and Serre in various contexts. The Whitham modulation equations take the form, to lowest order,...