The Maxwell-Stefan system for multi-component diffusion
The Maxwell-Stefan system is a system of equations commonly used to describe diffusion processes of multi-component systems. In this talk (i) I will describe modeling of multi-component systems, which leads to extensions of the Euler compressible dynamics system with mass and thermal diffusion. (ii) Will describe how the Maxwell-Stefan system emerges in the high-friction limit of multi-component Euler flows. (iii) Discuss some mathematical questions that this model raises and on the construction of numerical schemes for the Maxwell-Stefan system associated with the minimization of frictional dissipation.
Overview
Abstract
The Maxwell-Stefan system is a system of equations commonly used to describe diffusion processes of multi-component systems. In this talk (i) I will describe modeling of multi-component systems, which leads to extensions of the Euler compressible dynamics system with mass and thermal diffusion. (ii) Will describe how the Maxwell-Stefan system emerges in the high-friction limit of multi-component Euler flows. (iii) Discuss some mathematical questions that this model raises and on the construction of numerical schemes for the Maxwell-Stefan system associated with the minimization of frictional dissipation.
Brief Biography
Athanasios (Thanos) Tzavaras received a Diploma in Naval Architecture and Marine Engineering in 1981 from the National Technical University of Athens and a Ph.D. in Applied Mathematics in 1985 from Brown University. He has held faculty appointments at Purdue University (1985-87), the University of Wisconsin-Madison (1987-2002), the University of Crete (2002-05 and 2008-2014), and the University of Maryland - College Park (2005-10). From 2014 he is Professor of Applied Mathematics and Computational Science in the King Abdullah University of Science and Technology(KAUST). His research expertise lies on Mathematical Modeling and the Analysis of Nonlinear Partial Differential Equations.