| Barbara Lee Keyfitz|
Dr. Charles Saltzer Professor of Mathematics
Department of Mathematics
The Ohio State University
100 Math Tower
231 West 18th Avenue
Columbus, OH 43210-1174
Web page: https://people.math.osu.edu/keyfitz.2/
In January, 2009, I joined the Department of Mathematics at The Ohio State University, after 25 years at the University of Houston. From July 2004 until December 2008 I was Director of the Fields Institute for Research in Mathematical Sciences in Toronto, Canada. My research is in the field of nonlinear partial differential equations. I have studied systems of conservation laws which are nonstrictly hyperbolic or which change type from hyperbolic to elliptic in steady or unsteady flow. Systems with this behavior arise in models for multiphase flow in porous media, and in two-phase compressible and incompressible flow. With Suncica Canic and Eun Heui Kim, I began an analysis of self-similar solutions of systems of conservation laws in two space dimensions. Recently, I have been working with Katarina Jegdic and with Allen Tesdall on extensions of this multidimensional work. A current student, Hao Ying, is working in this area. A second research interest in Conservation Laws concerns the properties of Singular Shocks; these are weak solutions of Conservation Laws with very low regularity, first discovered by Herbert Kranzer and myself. Currently, with Martin Krupa, Charis Tsikkou and a student, Ting-Hao Hsu, we are exploring the use of Geometric Singular Perturbation Theory to study more about Singular Shocks.
On October 1, 2011, I became President of the International Council on Industrial and Applied Mathematics (ICIAM) for a four-year term.
Click here for my vita in PDF format.