Applied and Computational Math Seminar: Waves in viscoelastic media

Speaker:Francisco Sayas, University of Delaware
Title: Waves in viscoelastic media

Abstract: I will explain ongoing work with my team (Tom Brown, Shukai Du, and Hasan Eruslu) on Finite Element simulation of elastic wave propagation in media that are modeled using a strain-to-stress relation that keeps track of the past evolution of the solid. The family of models I will discuss includes the classical (Zener) differential viscoelastic model, a fractional derivative version thereof, and combinations of the above with pure elastic behavior. The analysis will be presented using transfer function techniques, but I will explain how in some cases refined results can be found using techniques of semigroup theory. 

Time: Friday, February 16, 2018, 1:30-2:30pm

Place: Exploratory Hall, Room 4106