How do strings vibrate and what forces slow them?
How can one still a vibrating body as quickly as possible?
Can one deduce material properties of a body from measurements
of its vibrations?
We shall explore these questions in the Physics of Strings seminar.
Participants will develop skills in:
Participants will benefit from a background in CAAM 335/336,
or MATH 355/381, or the equivalent.
mathematical modeling (the development of partial differential
equations that describe elastic and viscoelastic strings
and twisted strings, with applications in acoustics and DNA);
numerical analysis (high-precision spectral methods for solving
differential equations, and tools from numerical linear algebra);
functional analysis (analysis of the spectra and pseudospectra
of string models);
the interplay between mathematics and physical experiment (using
equipment in our burgeoning string laboratory).