Speaker: Dr. Shuang Liu, Assistant Professor, Department of Mathematics, University of North Texas

Date: Wednesday, April 03, 2024, 4:15 – 5:15 PM

Location:
Science Engineering Hall (SCEN 403)

Title:
 Computational Moving Boundary Problems

Abstract: Moving boundary (or often called “free boundary”) problems are ubiquitous in nature and technology. A computational perspective of moving boundary problems can provide insight into the “invisible” properties of complex dynamics systems, advance the design of novel technologies, and improve the understanding of biological and chemical phenomena. However, challenges lie in the numerical study of moving boundary problems. Examples include difficulties in solving PDEs in irregular domains, handling moving boundaries efficiently and accurately, as well as computing efficiency difficulties. In this talk, I will discuss three specific topics of moving boundary problems, with applications to ecology (population dynamics), plasma physics (ITER tokamak machine design), and cell biology (cell movement). In addition, some techniques of scientific computing will be discussed.

Short Bio: Dr. Shuang Liu currently is an assistant professor in the Department of Mathematics at the University of North Texas. During January 2021 and June 2023, she was a SEW Assistant Professor in the Department of Mathematics at University of California, San Diego. Before that, she was a Postdoc Research associate in applied mathematics and plasma physics group at Los Alamos National Laboratory. Dr. Liu received her PhD in 2019 from the Department of Mathematics from University of South Carolina.

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