Untangling in Time

Abstract

Often the responses of materials are not instantaneous in time, but rather governed by convolutions in time. In this situation it is usual to measure the response over a broad range of frequencies. In this talk the speaker will show, for two-phase composites or two-phase bodies, that it can be advantageous to measure the response in the time domain. Doing so allows one, with minimal measurements in the quasi-static regime, to extract the exact volume fractions of the phases in a two-phase composite, or the exact shape of an inclusion in a body. This is a joint work with Ornella MATTEI and Mihai PUTINAR.

About the Speaker

Prof. Graeme MILTON obtained his PhD from the Department of Physics at Cornell University in 1985. Following this he did his postdoctoral research at the California Institute of Technology as a Weingart Postdoctoral Fellow. He then joined the Courant Institute of Mathematical Sciences at New York University as an Assistant Professor in 1989, where he got tenure and was promoted to Associate Professor after two years and later to Full Professor. In 1994, he moved to the Department of Mathematics at the University of Utah and is currently the Distinguished Professor there. He had served as the Department Chair in 2002-2005.

Prof. Milton’s research interests include basic or applied research in composite materials, statistical mechanics, electromagnetism, applied mathematics, condensed matter physics, inverse problems, cloaking theory, networks and realizability, minimization variational principles for wave equations and for problems with non self-adjoint operators, and related areas. He was on the editorial board of Asymptotic Analysis and Archive for Rational Mechanics and Analysis.

Prof. Milton was the President of the International Association for the Science of Electrical, Transport and Optical Properties of Inhomogeneous Media (ETOPIM) in 2012-2018. He is the recipient of the 2015 International Prize “Tullio Levi-Civita” for the Mathematical and Mechanical Sciences from the International Research Center for the Mathematics and Mechanics of Complex Systems, the 2012 Rolf Landauer Medal from the ETOPIM, the 2007 William Prager Medal from the Society of Engineering Science and the 2003 Ralph E. Kleinman Prize from the Society for Industrial and Applied Mathematics.

For Attendees' Attention

This talk will be held online via Zoom. To attend, please join the Zoom meeting at https://hkust.zoom.us/j/92528753606 (Meeting ID: 925 2875 3606 / Passcode: iasip2022).

About the Program

For more information, please refer to the program website at https://iasprogram.hkust.edu.hk/inverseproblems/.