Math @ Duke
|
Papers Published
- 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]
- 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]
- Cheskidov, A; Luo, X, Sharp nonuniqueness for the Navier–Stokes equations,
Inventiones Mathematicae, vol. 229 no. 3
(September, 2022),
pp. 987-1054 [doi] [abs]
- Kiselev, A; Luo, X, On nonexistence of splash singularities for the $α$-SQG patches
(November, 2021) [abs]
- 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]
- 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]
- 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]
- Luo, X, On the possible time singularities for the 3D Navier–Stokes equations,
Physica D: Nonlinear Phenomena, vol. 395
(August, 2019),
pp. 37-42, Elsevier BV [doi]
- Luo, X, Stationary Solutions and Nonuniqueness of Weak Solutions for the Navier–Stokes Equations in High Dimensions,
Archive for Rational Mechanics and Analysis, vol. 233 no. 2
(August, 2019),
pp. 701-747, Springer Science and Business Media LLC [doi]
- Luo, X, A Beale–Kato–Majda Criterion with Optimal Frequency and Temporal Localization,
Journal of Mathematical Fluid Mechanics, vol. 21 no. 1
(March, 2019), Springer Science and Business Media LLC [doi]
|
|
dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
| |
Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
|
|