Generalized Law of Mass Action (LMA) with Energetic Variational Approaches (EnVarA) 101



Chun Liu, Illinois Institute of Technology, USA


2020.06.30 10:00-11:00




Conference ID: 910-667-97060

PIN Code: 805581


In this talk, we’ll present a systematic variational derivation to generalize the mass action kinetics of chemical reactions with detailed balance using an energetic variational approach. Our approach starts with an energy dissipation law for a chemical reaction system, which could be argued to carry all the information of the dynamics. The dynamics of the system is determined by both the choice of the free energy, as well as the dissipation, the entropy production. This approach enables us to capture the coupling and competition of various mechanisms, including mechanical effects such as diffusion, drift in an electric field, as well as the thermal effects. We will also discuss several practical examples under this approach, in particular, the modeling of wormlike micellar solutions. This is a joint work with Bob Eisenberg, Pei Liu, Yiwei Wang and Tengfei Zhang.


Chun Liu is the Chair and Professor in the Department of Applied Mathematics in Illinois Institute of Technology in Chicago. Before coming to Illinois Tech, Liu was in the Department of Mathematics at Pennsylvania State University, where he had served since 1998. He also served a term as associate director for the Institute for Mathematics and Its Applications (IMA) at the University of Minnesota, and has held positions at many institutions, such as the University of Wuerzburg, the University of Tokyo, the University of Georgia, and Carnegie Mellon University. He received his Ph.D. in 1995 from the Courant Institute of Mathematical Sciences at New York University.

Liu’s research is in nonlinear partial differential equations and applications in complex fluids, such as liquid crystal growth, polymers, and ion channels in cell membranes. He developed a general framework of energetic variational approaches (EnVarA) to study various problems arising from physical and biological applications. Liu’s research has been supported by various federal and international funding agencies.