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Jincheng Yang

Institute for Advanced Study

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About Me

Hi, I am Jincheng! I am a member of Institute for Advanced Study. I was previously a Dickson instructor in the Department of Mathematics at The University of Chicago. I completed my Ph.D. in Mathematics at The University of Texas at Austin in March 2022, under the supervision of Prof. Caffarelli and Prof. Vasseur. My research interests include analysis, partial differential equations, fluid dynamics, especially the incompressible Euler and Navier-Stokes equation.

As in the fall of 2024, I am on the job market for a tenure-track position.

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Contact Information

School of Mathematics

Institute for Advanced Study

1 Einstein Dr

Princeton, NJ 08540, USA

Publications and Preprints
  1. Jincheng Yang, Vincent R. Martinez, Anna L. Mazzucato, Alexis F. Vasseur: Energy dissipation near the outflow boundary in the vanishing viscosity limit, (2024). [arXiv:2410.13127][pdf]

  2. Fei Cao, Jincheng Yang: Quantitative convergence guarantees for the mean-field dispersion process, (2024). [arXiv:2406.05043][pdf]

  3. Jincheng Yang: Vorticity interior trace estimates and higher derivative estimates via blow-up method, (2023). [arXiv:2308.09350][pdf]

  4. Jincheng Yang, Luhao Zhang, Ningyuan Chen, Rui Gao, Ming Hu: Decision-making with side information: a causal transport robust approach, (2022). [OptOnline:20639][pdf]

  5. Luhao Zhang, Jincheng Yang, Rui Gao: A short and general duality proof for Wasserstein distributionally robust optimization, Operations Research, forthcoming. (2024) [arXiv:2205.00362][pdf]

  6. Alexis F. Vasseur, Jincheng Yang: Layer separation of the 3D incompressible Navier–Stokes equation in a bounded domain, Communications in Partial Differential Equations, 49: 381–409. (2024) [arXiv:2303.05236][pdf]

  7. Luhao Zhang, Jincheng Yang, Rui Gao: Optimal robust policy for feature-based newsvendor, Management Science, 70: 2315-2329. (2024) [OptOnline:18579][pdf]

  8. Alexis F. Vasseur, Jincheng Yang: Boundary vorticity estimates for Navier–Stokes and application to the inviscid limit, SIAM Journal on Mathematical Analysis, 55: 3081–3107. (2023) [arXiv:2110.02426][pdf]

  9. Jincheng Yang: Construction of maximal functions associated with skewed cylinders generated by incompressible flows and applications, Annales de l’Institut Henri Poincaré C. Analyse Non Linéaire, 39: 793–818. (2022) [arXiv:2008.05588][pdf]

  10. Alexis F. Vasseur, Jincheng Yang: Second derivatives estimate of suitable solutions to the 3D Navier-Stokes equations, Archive for Rational Mechanics and Analysis, 241: 683–727. (2021) [arXiv:2009.14291][pdf]

  11. Zhiwu Lin, Jincheng Yang, Hao Zhu: Barotropic instability of shear flows, Studies in Applied Mathematics, 144: 289–326. (2020) [arXiv:1801.00950][pdf]

  12. Jincheng Yang, Zhiwu Lin: Linear inviscid damping for Couette flow in stratified fluid, Journal of Mathematical Fluid Mechanics, 20: 445–472. (2018) [arXiv:1610.08924][pdf]

Gallary
22 Jan 2021

De Giorgi

14 Apr 2020

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