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Xiaoyutao Luo
Xiaoyutao Luo
Academy of Mathematics and Systems Science, Chinese Academy of Science
Verified email at amss.ac.cn
Title
Cited by
Cited by
Year
Sharp nonuniqueness for the Navier–Stokes equations
A Cheskidov, X Luo
Inventiones mathematicae 229 (3), 987-1054, 2022
1202022
Stationary solutions and nonuniqueness of weak solutions for the Navier–Stokes equations in high dimensions
X Luo
Archive for Rational Mechanics and Analysis 233 (2), 701-747, 2019
822019
-Critical Nonuniqueness for the 2D Navier-Stokes Equations
A Cheskidov, X Luo
Annals of PDE 9 (2), 13, 2023
742023
Nonuniqueness of weak solutions for the transport equation at critical space regularity
A Cheskidov, X Luo
Annals of PDE 7 (1), 2, 2021
712021
Energy equality for the Navier–Stokes equations in weak-in-time Onsager spaces
A Cheskidov, X Luo
Nonlinearity 33 (4), 1388, 2020
692020
Extreme temporal intermittency in the linear Sobolev transport: almost smooth nonunique solutions
A Cheskidov, X Luo
Analysis & PDE 17 (6), 2161-2177, 2024
252024
On Nonexistence of Splash Singularities for the -SQG Patches
A Kiselev, X Luo
Journal of Nonlinear Science 33 (2), 37, 2023
212023
Illposedness of Vortex Patches
A Kiselev, X Luo
Archive for Rational Mechanics and Analysis 247 (3), 57, 2023
202023
Surface quasi-geostrophic equation perturbed by derivatives of space-time white noise
M Hofmanová, X Luo, R Zhu, X Zhu
Mathematische Annalen 390 (4), 5111-5152, 2024
142024
Anomalous Dissipation, Anomalous Work, and Energy Balance for the Navier--Stokes Equations
A Cheskidov, X Luo
SIAM Journal on Mathematical Analysis 53 (4), 3856-3887, 2021
102021
The α α‐SQG patch problem is illposed in C 2, β C^2,β and W 2, p W^2,p
A Kiselev, X Luo
Communications on Pure and Applied Mathematics 78 (4), 742-820, 2025
92025
Illposedness of incompressible fluids in supercritical Sobolev spaces
X Luo
arXiv preprint arXiv:2404.07813, 2024
52024
On the possible time singularities for the 3D Navier–Stokes equations
X Luo
Physica D: Nonlinear Phenomena 395, 37-42, 2019
32019
A Beale–Kato–Majda criterion with optimal frequency and temporal localization
X Luo
Journal of Mathematical Fluid Mechanics 21 (1), 1, 2019
32019
Sharp norm inflation for 3D Navier-Stokes equations in supercritical spaces
X Luo
arXiv preprint arXiv:2504.08288, 2025
12025
Norm Inflation For The Critical SQG Equation
D Guo, X Luo
arXiv preprint arXiv:2512.08816, 2025
2025
Long time inviscid damping near Couette in Sobolev spaces
D Guo, X Luo
arXiv preprint arXiv:2511.21583, 2025
2025
THE α-SQG PATCH PROBLEM IS ILLPOSED IN C2, β AND
A KISELEV, X LUO
2024
Eulerian uniqueness of the -SQG patch problem
X Luo
arXiv preprint arXiv:2403.04219, 2024
2024
THE α -SQG PATCH PROBLEM IS ILLPOSED IN C2, β AND W2, P
A KISELEV, X LUO
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2024
2024
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