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Math @ Duke





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Xiaoyutao Luo, William W. Elliott Assistant Research Professor

Xiaoyutao Luo
Contact Info:
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):

  • MATH 202D.01D, MULTIVAR CALCULUS FOR ECON Synopsis
    Physics 047, Th 01:45 PM-03:00 PM
  • MATH 202D.02D, MULTIVAR CALCULUS FOR ECON Synopsis
    Physics 259, Th 12:00 PM-01:15 PM
  • MATH 202D.03D, MULTIVAR CALCULUS FOR ECON Synopsis
    Bio Sci 130, Th 03:30 PM-04:45 PM
  • MATH 202D.04D, MULTIVAR CALCULUS FOR ECON Synopsis
    Physics 047, Th 05:15 PM-06:30 PM
Office Hours:

Th 10:00-12:00
Education:

Ph.D.University of Illinois2020
Keywords:

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

Recent Publications   (More 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]

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320