Jeffrey Cheng
Office: PMA 10.104
Email: jeffrey.cheng[at]utexas.edu
I am a fourth year PhD student (in Fall 2025) in the mathematics department at the University of Texas at Austin. My advisor is Alexis Vasseur.
Curriculum Vitae
Research Interests
I work on the analysis of nonlinear PDEs arising in continuum mechanics (hyperbolic conservation laws, compressible Navier-Stokes equations, fluid mechanics).
Publications
- Viscous Destabilization for Large Shocks of Conservation Laws (w/ P. Blochas). (to appear in SIAM J. Math. Anal.) [arxiv]
- Uniqueness & Weak-BV Stability in the Large for Isothermal Gas Dynamics. (J. Differ. Equ. 446 (2025), 113599) [arxiv]
- L^2 Stability & Minimal Entropy Conditions for Scalar Conservation Laws with Concave-Convex Fluxes. (Quart. Appl. Math. 83 (2025), 667-722) [arxiv]
Preprints
- The Unique Limit of the Glimm--Lax Construction for Sobolev Data and Obstructions to 1-d Convex Integration (w/ C. Faile, S. Krupa). [arxiv]
- Relative Entropy Contractions for Extremal Shocks of Nonlinear Hyperbolic Systems without Genuine Nonlinearity. [arxiv]
Teaching
In Spring 2026 I am teaching M427J at UT Austin.
Notes
Disambiguation
My name is decently popular in STEM academia. I am not Jeffrey Cheng, nor am I Jeffrey Cheng.
