Xiaoyutao Luo, William W. Elliott Assistant Research Professor

Office Location:	120 Science Drive, Durham, NC 27708
Email Address:
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

• MATH 218D-1.01D, MATRICES AND VECTOR SPACES Synopsis

  Social Sciences 119, F 08:30 AM-09:45 AM

• MATH 718D-1.01D, MATRICES AND VECTOR SPACES Synopsis

  Social Sciences 119, F 08:30 AM-09:45 AM

Office Hours:

Th 10:00-12:00

Education:

Ph.D.

University of Illinois

2020

Keywords:

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]