Xiaoyutao Luo

collaborators

6 papers

math.AP2026

Asymptotic stability of shear flows for 2D Euler equations at Yudovich regularity

Dengjun Guo, Xiaoyutao Luo

The nonlinear asymptotic stability of shear flows in the 2D Euler equations has traditionally been linked to inviscid damping in the periodic setting. Since Gevrey regularity is re…

math.AP2026

Norm Inflation For The Critical SQG Equation

Dengjun Guo, Xiaoyutao Luo

We consider the critical dissipative surface quasi-geostrophic (SQG) equation on $R^{2}$ or $T^{2}$ . Despite global regularity of the equation, we show that the data-…

cs.LG2026

From Snapshots to Trajectories: Learning Single-Cell Gene Expression Dynamics via Conditional Flow Matching

Siyu Pu, Qingqing Long, Xiaohan Huang +7

Single-cell RNA sequencing (scRNA-seq) provides high-dimensional profiles of cellular states, enabling data-driven modeling of cellular dynamics over time. In practice, time-resolv…

math.AP2026

Flexibility and rigidity for the Couette flow in the infinite channel

Dengjun Guo, Xiaoyutao Luo, Guolin Qin

We investigate the existence of stationary and traveling wave solutions to the 2D Euler equations near the Couette flow in the infinite channel $R \times [- 1, 1]$ . For Sobo…

math.AP2025

Long time inviscid damping near Couette in Sobolev spaces

Dengjun Guo, Xiaoyutao Luo

We give an elementary proof of long time inviscid damping for Sobolev perturbations near the Couette flow $(y, 0)$ for the 2D Euler equations on $T \times R$ . For…

math.AP2025

Sharp norm inflation for 3D Navier-Stokes equations in supercritical spaces

Xiaoyutao Luo

We prove that the incompressible Navier-Stokes equations exhibit norm inflation in $B ˙_{p, q}^{s} (R^{3})$ with smooth, compactly supported initial data. Such norm inflati…