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