Math Seminar: Monday, September 20, 2021 @ 1:00 PM

 PRESENTS A SEMINAR

Suitability of fractional derivatives for complex media

Date: Monday, September 20, 2021

Time: 1:00 PM

Location: Building 5, Room 103

Abstract

In many complex diffusion phenomena, the mean square displacement does not grow linearly as in the ordinary cases. It grows nonlinearly in time as a power function in case of disordered systems. This suggests using fractional differential models to describe the evolution of such processes. This represents an appropriate alternative to the costly nonlinear models. In this talk, we will go over some problems in viscoelasticity, thermoelasticity and porous media. The well-posedness as well as the stability of such systems with the involved integer-order derivatives replaced by fractional ones will be discussed. In particular, we will explain how we can pass smoothly from the integer case to the non-integer case. The main difficulties and some open problems will be highlighted.

All faculty, researchers and graduate students are invited to attend.