Time

Oct 12 2009 - 4:30pm - 5:30 pm

Location

CH 240

Speaker

Barbara Lee Keyfitz (OSU)

Abstract

A significant difficulty in extending the theory of hyperbolic conservation laws beyond a single space dimension is identifying the singularities in solutions that may appear in multidimensional problems.

Recent numerical results have suggested that even within the much more restricted set of self-similar solutions there may be phenomena that are very complicated indeed -- apparently well beyond the reach of current analysis.

However, while searching for a simple prototype, I have come across a problem that is simple and natural. It appears to have something new to say even about the classical problem of steady transonic flow, and the solution uses the familiar tools named in the title.

The problem and its solution will be expounded in two talks, to an audience that is not assumed to have any prior acquaintance with the theory of conservation laws.

Notes

This lecture is part of Invitation to Mathematics.
Pre-candidacy students can sign up for this lecture series by registering for one credit hour of Math 693, Call # 27103 (with Prof H. Moscovici).