报告题目: Mathematical Analysis and Numerical Methods for a new class of entropy solutions of the Buckley-Leverett equations
报告人：Ying Wang （俄克拉荷马大学）
报告内容：In this talk, I will discuss a new class of entropy solutions of the Buckley-Leverett equations, which model underground oil recovery. Analytic study on the computational domain reduction and traveling wave solution stability will be provided. A variety of numerical examples will be given. They show that the solutions may have many different profiles depending on the initial conditions, diffusion parameter, and the third-order mixed derivatives parameter. The results are consistent with the study of traveling wave solutions and their bifurcation diagrams.
报告人简历：Dr. Ying Wang obtained her B.Sc.(with First Class Honours) in Computer and Information Sciences from National University of Singapore, and PhD in Mathematics from the Ohio State University. She is currently an associate professor at University of Oklahoma. Her main research interests are scientific computing and numerical analysis. She has received an Oak Ridge Associated Universities (ORAU) Ralph E. Powe Junior Faculty Enhancement Award in 2015, an NSF CAREER Award in 2018, and is currently supported by 3 NSF grants.