mu UofL Math - SEMINARS

 ANNUAL BULLITT LECTURE Algebra-Combinatorics-Number Theory Seminar Mathematical Biology Seminar

Colloquia, Seminars, and Conferences
Colloquium
Wednesday, September 17th, 2014 at 3:30 PM, NS 333
(Refreshments afterwards in room 334)
"Acoustic propagation in a saturated piezo-elastic, porous medium"
Robert P. Gilbert
University of Delaware

Abstract: We study the problem of derivation of an effective model of acoustic wave propagation in a two-phase, non-periodic medium modeling a fine mixture of linear piezo-elastic solid and a viscous Newtonian, ionic bearing fluid. Bone tissue is an important example of a composite material that can be modeled in this fashion. We develop two-scale homogenization methods for this system, and discuss also a stationary random, scale-separated microstructure. The ratio $\varepsilon$ of the macroscopic length scale and a typical size of the microstructural inhomogeneity is a small parameter of the problem. Another possibly small parameter is the Peclet number which influences the type of effective equations which are obtained.

Seminars

Analysis Seminar
Contact: Dr. Alica Miller

Algebra & Combinatorics Seminar
Contact: Dr. Hamid Kulosman

Mathematical Biology Seminar
Contact: Dr. Bingtuan Li or Dr. Lee Gibson