Chen Liu is an Assistant Professor in the Department of Mathematical Sciences at the University of Arkansas. His research focuses on high-order numerical methods to solve partial differential equations in fluid dynamics. Specifically, he is focusing on discontinuous Galerkin methods, incompressible single-phase and multi-phase flows, hyperbolic conservation laws, and compressible flow. Additionally, he is also conducting research on non-smooth convex optimization.
Prior to joining the University of Arkansas, Dr. Liu was a Golomb Visiting Assistant Professor in the Department of Mathematics at Purdue University under the supervision of Prof. Xiangxiong Zhang. He earned his Ph.D. degree from the Department of Computational and Applied Mathematics at Rice University, where his advisor was Prof. Beatrice Riviere. Click here for his detailed Curriculum Vitae.
My research involves the study of numerical techniques for partial differential equations. A few key topics are listed below.
- Discontinuous Galerkin methods
- Incompressible Navier-Stokes
- Pore-scale multi-phase flow
- Hyperbolic conservation laws
- Nonsmooth convex optimization
I greatly acknowledge the support from the National Science Foundation (NSF) on my research, particularly the NSF award DMS-2513106.
If you are seeking undergraduate/graduate research opportunities in computational and applied mathematics, feel free to contact me. I am always looking for excellent, motivated students to work with.
I am organizing the Applied Mathematics Seminar at University of Arkansas. If you are interested in giving a talk, please contact me.