Hengrong Du Name in Chinese

Ph.D. in Mathematics portrait

Department of Mathematics
Purdue University

Contact Information

Office: MATH 739
Email: du155 at purdue dot edu

About Me



My current research primarily concerns questions from analysis of partial differential equations, with emphasis on fluid dynamics, calculus of variations and geometric flows. I am working with Prof. Changyou Wang on the hydrodynamics of liquid crystals.

Publications and Preprints

  1. Weak solutions of non-isothermal nematic liquid crystal flow in dimension three
    Hengrong Du, Yimei Li and Changyou Wang, J. Elliptic Paraboli. Equ. 6(2020), no. 1, 71-89.
  2. Suitable weak solutions for the co-rotational Beris-Edwards system in dimension three
    Hengrong Du, Xianpeng Hu and Changyou Wang, Arch. Ration. Mech. Anal. 238(2020), no. 2, 749-803.
  3. Partial regularity of a nematic liquid crystal model with kinematic transport effects
    Hengrong Du, Xianpeng Hu and Changyou Wang, arXiv:2006.13174
  4. Weak compactness of simplified nematic liquid flows in 2D
    Hengrong Du, Tao Huang and Changyou Wang, arXiv:2006.04210
  5. Compactness of M-uniform domains and optimal thermal insulation problems
    Hengrong Du, Qinfeng Li and Changyou Wang, arXiv:2008.11144

Research in progress

  1. Stability of self-similar solutions to geometric flows involving mean curvature
    Hengrong Du and Nung Kwan Yip, in preparation.
  2. Global existence of weak martingale solutions to the stochastic Ericksen--Leslie equations in $\mathbb{R}^2$
    Hengrong Du and Changyou Wang, in preparation.

Teaching

Fall 2018 MA 16500 Recitation

Spring 2019 MA 16200 Recitation

Fall 2019 MA 26200 Recitation