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 am interested in the analysis of nonlinear PDEs arising in continuum mechanics (hyperbolic conservation laws, fluid mechanics). A comprehensive resource for the types of things I think about is the book of Dafermos: "Hyperbolic Conservation Laws in Continuum Physics".
Publications
- 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
- Relative Entropy Contractions for Extremal Shocks of Nonlinear Hyperbolic Systems without Genuine Nonlinearity. (Submitted, 2025) [arxiv]
- Viscous Destabilization for Large Shocks of Conservation Laws (w/ P. Blochas). (Submitted, 2025) [arxiv]
Teaching
In Fall 2025 I am teaching M408C (Calculus I) at UT Austin.
Notes
Disambiguation
I am not Jeffrey Cheng , who did an undergraduate thesis on enhanced dissipation.
