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

Office Hours:

Th 10:00-12:00
Keywords:

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

Recent Publications

  1. Kiselev, A; Luo, X, Illposedness of C2 Vortex Patches, Archive for Rational Mechanics and Analysis, vol. 247 no. 3 (June, 2023), Springer Science and Business Media LLC [doi]  [abs]
  2. Kiselev, A; Luo, X, On Nonexistence of Splash Singularities for the α -SQG Patches, Journal of Nonlinear Science, vol. 33 no. 2 (April, 2023), Springer Science and Business Media LLC [doi]  [abs]
  3. Cheskidov, A; Luo, X, Sharp nonuniqueness for the Navier–Stokes equations, Inventiones Mathematicae, vol. 229 no. 3 (September, 2022), pp. 987-1054 [doi]  [abs]
  4. Kiselev, A; Luo, X, On nonexistence of splash singularities for the $α$-SQG patches (November, 2021)  [abs]
  5. 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]