Runzhang Zhong

Postdoctoral Fellow in mathematics at the University of Missouri

I work on partial differential equations arising in fluid dynamics. My research focuses on relativistic fluids and water waves.

I received my Ph.D. in Mathematics from Vanderbilt University in May 2025 under the supervision of Marcelo Disconzi. At Missouri my mentor is Samuel Walsh. Before that, I graduated from the University of Minnesota, Twin Cities, in May 2019.

Here is my CV.

Office: 327 Mathematical Sciences Building
Department of Mathematics, University of Missouri, Columbia, MO 65211
rz47r@missouri.edu

Publications and Preprints

• The relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state. In preparation.
• The Israel–Stewart equations with a physical vacuum boundary. Preprint (2026). arXiv.
• (with Gregory Slease and Samuel Walsh) Existence and stability of capillary-gravity wave-borne vortices. Submitted (2026). arXiv.
• The linearized Israel–Stewart equations with a physical vacuum boundary. Lett. Math. Phys. 115 (2025), no. 2, Paper No. 44. Journal.

Talks

• SIAM Conference on Analysis of Partial Differential Equations (PD25), Pittsburgh, PA, November 2025.
• PDE Seminar, University of Missouri, September 2025.
• AMS Spring Southeastern Sectional Meeting, Clemson University, March 2025.

Teaching

University of Missouri (instructor of record)

• MATH 4100 Differential Equations — Fall 2025 (two sections), Spring 2026, Fall 2026 (two sections)

Vanderbilt University (teaching assistant, 2020–2025)

• MATH 2400 Differential Equations with Linear Algebra; MATH 1200/1201/1300/1301 Calculus I & II; MATH 2820 Introduction to Probability and Mathematical Statistics

Conference Organization

Co-organizer (with Tanya Christiansen and Samuel Walsh), KUMUNU+ISU Conference on PDEs, Dynamical Systems and Applications, University of Missouri, planned for April 2027.

Last updated: October 2026.