Lecture | Mathematical Models for Complex Fluids by Using Energy Variational Method

Speaker: Dr. Xu Shixin

Time: 2:00-3:00p.m., 23 Sep 2019 (Mon)

Venue: T2-202

Language: English

Abstract:

Complex fluids are those with internal microstructures whose evolution affects the macroscopic dynamics of the material, especially the rheology. So it is a multiscale and multicomponent problem. Those internal microstructures interactions will induce some non-Newtonian mechanical properties, for example, viscoelasticity and strain stiffening. A lot of models have been proposed to model different types of complex fluids. In this talk, we will present the energetic variational approach by which the model is always thermal dynamic consistent. We will also talk about applications of energetic variation method on different scales of complex fluids.

About the Speaker:

Dr Xu received his B.Sc. in Mathematics (Hons) from Ocean University of China and a Ph.D. in Mathematics from the University of Science and Technology, China, in 2013. From 2013 to 2017, he held postdoctorate positions at the National University of Singapore, the University of Notre Dame and University of California Riverside (U.S.), and the Fields Institute for Research in Mathematical Sciences (Canada). His research interests are machine learning and data-driven model for diseases, multiscale modeling of complex fluids, homogenization theory and numerical analysis.

Last Updated:Oct 1, 2021