Zu Chongzhi Research Seminar

Date and Time (China standard time): Saturday, July 11, 3:00 PM – 4:00 PM

Location: IB 1010

Zoom: 951 0049 8019, Passcode: dkumath

Title: Mathematical modeling, analysis and numerical investigation of ion active transport with free boundaries

Speaker: Dr. Yuzhe Qin, Shanxi University

Abstract: We study a diffusive interface model for ion active transport through free boundaries. By an energy-variation approach, we derive a phase-field system that couples the label function, species concentrations, electrostatic potential, and incompressible flow, and establish an energy dissipation law. A sharp-interface limit analysis is carried out to connect the diffuse-interface model with the corresponding free-boundary formulation. Based on the thermodynamically consistent structure, we design an unconditionally energy stable scheme. Numerical tests in one and two dimensions validate the model and demonstrate key features of active transport, with additional comparisons to results reported in the literature. The proposed framework provides a consistent modeling and simulation tool for ion transport with restricted diffusion across membranes.

Bio:  Yuzhe Qin is an Associate Professor at the School of Mathematics and Statistics, Shanxi University. His research interests include structure-preserving numerical methods for partial differential equations, mathematical modeling, and scientific computation of complex fluids. His work focuses particularly on phase-field models, ion transport, and coupled fluid-interface problems. Dr. Qin has published research papers in leading journals such as IMA Journal of Numerical Analysis, Journal of Computational Physics, Physics of Fluids, and Physical Review Fluids. He has led research projects supported by the NSFC, the General Program of Shanxi Province, the Sanjin Talent Program for Young Top-notch Talents in Science and Technology Innovation, and the Wenying Young Scholar Program of Shanxi University. He has also been awarded a Humboldt Fellowship for Experienced Researchers.