Department of Mathematics

This talk comprises two parts. The first part is on the system of integral/partial differential equations that models wave propagation in poro-elastic materials such as rocks and bones. The second part is on the topic of T2-imaging of brains in the study of Alzheimer’s disease.   As will be made clear in the talk, a common thread going through these two topics is the exponential analysis for composite materials. Both the theory and the computational results will be presented in the talk, which is based on the joint work with C. Bi, M. Bouhrara, K. Fishbein, W. Qian, R. Spencer, H. Woerdeman and J. Xie.