Jeffrey Cheng

Office: PMA 10.104

Email: jeffrey.cheng[at]utexas.edu


I am a third year PhD student (as of Spring 2025) in the mathematics department at the University of Texas at Austin. My advisor is Alexis Vasseur.

Curriculum Vitae


CV (updated 2/3/25)

Research Interests


I am interested in the analysis of nonlinear PDEs. I currently work on various aspects of the L^2 stability theory for conservation laws.

Papers


  • Uniqueness & Weak-BV Stability in the Large for Isothermal Gas Dynamics. (Submitted, 2025) [arxiv]
  • Viscous Destabilization for Large Shocks of Conservation Laws (w/ P. Blochas). (Submitted, 2025) [arxiv]
  • L^2 Stability & Minimal Entropy Conditions for Scalar Conservation Laws with Concave-Convex Fluxes. (To appear in QAM) [arxiv]

Teaching


I am not teaching in the Fall 2024 or Spring 2025 semesters.

Notes


Notes

Disambiguation


I am not Jeffrey Cheng , who did an undergraduate thesis on enhanced dissipation.

Austin, 2023