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Xiaoyutao Luo
Observed name:
Luo, Xiaoyutao
Institutions:
Chinese Academy of Sciences,
Academy of Mathematics and Systems Science
Observed institutions:
Duke University,
Chinese Academy of Sciences,
University of Illinois Chicago,
Institute for Advanced Study,
Academy of Mathematics and Systems Science
ORCID:
0000-0003-3715-5375
Observed ORCID:
0000-0003-3715-5375
OpenAlex ID:
A5062175886
Sharp nonuniqueness for the Navier–Stokes equations
2022
·
Alexey Cheskidov
, Xiaoyutao Luo
·
Inventiones mathematicae
·
69
PDF
Energy equality for the Navier–Stokes equations in weak-in-time Onsager spaces
2020
·
Alexey Cheskidov
, Xiaoyutao Luo
·
Nonlinearity
·
49
PDF
Nonuniqueness of Weak Solutions for the Transport Equation at Critical Space Regularity
2021
·
Alexey Cheskidov
, Xiaoyutao Luo
·
Annals of PDE
·
44
PDF
$$L^2$$-Critical Nonuniqueness for the 2D Navier-Stokes Equations
2023
·
Alexey Cheskidov
, Xiaoyutao Luo
·
Annals of PDE
·
33
PDF
Stationary and discontinuous weak solutions of the Navier-Stokes equations
2019
·
Cheskidov, Alexey
, Luo, Xiaoyutao
·
arXiv (Cornell University)
·
12
PDF
Extreme temporal intermittency in the linear Sobolev transport: Almost smooth nonunique solutions
2024
·
Alexey Cheskidov
, Xiaoyutao Luo
·
Analysis & PDE
·
10
PDF
Surface quasi-geostrophic equation perturbed by derivatives of space-time white noise
2024
·
Martina Hofmanová
, Xiaoyutao Luo
, et al.
·
Mathematische Annalen
·
6
PDF
Illposedness of $$C^{2}$$ Vortex Patches
2023
·
Alexander Kiselev
, Xiaoyutao Luo
·
Archive for Rational Mechanics and Analysis
·
6
PDF
Anomalous Dissipation, Anomalous Work, and Energy Balance for the Navier--Stokes Equations
2021
·
Alexey Cheskidov
, Xiaoyutao Luo
·
SIAM Journal on Mathematical Analysis
·
6
PDF
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches
2023
·
Alexander Kiselev
, Xiaoyutao Luo
·
Journal of Nonlinear Science
·
5
PDF
The α$\alpha$‐SQG patch problem is illposed in C2,β$C^{2,\beta }$ and W2,p$W^{2,p}$
2024
·
Alexander Kiselev
, Xiaoyutao Luo
·
Communications on Pure and Applied Mathematics
·
2
PDF
Anomalous dissipation, anomalous work, and energy balance for smooth solutions of the Navier-Stokes equations
2019
·
Cheskidov, Alexey
, Luo, Xiaoyutao
·
arXiv (Cornell University)
·
1
PDF
On the possible time singularities for the 3D Navier–Stokes equations
2019
·
Xiaoyutao Luo
·
Physica D Nonlinear Phenomena
·
1
PDF
Time singularities for 3D Navier-Stokes equations in homogeneous Lebesgue spaces
2017
·
Xiaoyutao Luo
·
1
Eulerian uniqueness of the 𝛼-SQG patch problem
2026
·
Xiaoyutao Luo
·
Transactions of the American Mathematical Society
PDF
Illposedness of incompressible fluids in supercritical Sobolev spaces
2026
·
Xiaoyutao Luo
·
Duke Mathematical Journal
PDF
Inviscid damping without derivatives near Couette flow
2026
·
Guo, Dengjun
, Luo, Xiaoyutao
·
arXiv (Cornell University)
PDF
Flexibility and rigidity for the Couette flow in the infinite channel
2026
·
Guo, Dengjun
, Luo, Xiaoyutao
, et al.
·
arXiv (Cornell University)
PDF
Norm inflation for the critical SQG equation
2026
·
Dengjun Guo
, Xiaoyutao Luo
·
International Mathematics Research Notices
PDF
Asymptotic stability of shear flows for 2D Euler equations at Yudovich regularity
2026
·
Guo, Dengjun
, Luo, Xiaoyutao
·
arXiv (Cornell University)
PDF
Long time inviscid damping near Couette in Sobolev spaces
2025
·
Guo, Dengjun
, Luo, Xiaoyutao
·
arXiv (Cornell University)
PDF
Sharp norm inflation for 3D Navier-Stokes equations in supercritical spaces
2025
·
Luo, Xiaoyutao
·
arXiv (Cornell University)
PDF
Eulerian uniqueness of the $α$-SQG patch problem
2024
·
Luo, Xiaoyutao
·
arXiv (Cornell University)
PDF
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Works count:
24
Citation count:
239
H-index:
6
I10-index:
6
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