Professor Jie Shen Purdue University and Xiamen University

Abstract: I shall present some recent work on phase-field model for multiphase complex fluids. Particular attention will be paid to develop models which are valid for problems with large density ratios and obey an energy dissipation law. I shall present efficient and accurate numerical schemes for solving the coupled nonlinear system for the multiphase complex fluid, in many case prove that they are energy stable, and show ample numerical results which not only demonstrate the effectiveness of the numerical schemes, but also validate the flexibility and robustness of the phase-field model.

About the Speaker: Jie Shen is Professor of Mathematics and Director of Computational and Applied Mathematics at Purdue University. He received his B.S. in Computational Mathematics from Peking University in 1982 and his Ph.D in Numerical Analysis from Universite de Paris-Sud at Orsay in 1987. Before joining the Purdue Faculty in Fall 2002, he served as Professor of Mathematics at Penn State University and University of Central Florida. His main reseach interests are numerical analysis, spectral methods and scientific computing with applications in computational fluid dynamics and materials science. Jie Shen serves on editorial boards for a number of leading international research journals and is the author of two books and over 120 peer reviewed research articles.