Xiaoyutao Luo, William W. Elliott Assistant Research Professor

Xiaoyutao Luo
Office Location:  120 Science Drive, Durham, NC 27708
Email Address: send me a message
Web Page:  https://sites.google.com/view/xluo/home

Teaching (Fall 2022):

Teaching (Spring 2023):

Office Hours:

Th 10:00-12:00

Ph.D.University of Illinois2020

Differential equations, Partial • Generalized solutions of partial differential equations • Partial differential equations

Recent Publications

  1. Cheskidov, A; Luo, X, Sharp nonuniqueness for the Navier–Stokes equations, Inventiones Mathematicae, vol. 229 no. 3 (September, 2022), pp. 987-1054 [doi]  [abs]
  2. Kiselev, A; Luo, X, On nonexistence of splash singularities for the $α$-SQG patches (November, 2021)  [abs]
  3. Cheskidov, A; Luo, X, Nonuniqueness of Weak Solutions for the Transport Equation at Critical Space Regularity, Annals of Pde, vol. 7 no. 1 (June, 2021), Springer Science and Business Media LLC [doi]  [abs]
  4. CHESKIDOV, A; LUO, X, Anomalous dissipation, anomalous work, and energy balance for the navier-stokes equations, Siam Journal on Mathematical Analysis, vol. 53 no. 4 (January, 2021), pp. 3856-3887 [doi]  [abs]
  5. Cheskidov, A; Luo, X, Energy equality for the Navier–Stokes equations in weak-in-time Onsager spaces, Nonlinearity, vol. 33 no. 4 (April, 2020), pp. 1388-1403, IOP Publishing [doi]