Ying Sun

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math.AP2026

Nonsymmetric sign-changing solutions for the partially overdetermined eigenvalue problem on a hollow cylinder

Guowei Dai, Yingxin Sun, Yong Zhang

Fix $R \in (0, 1)$ and $N \geq 2$ , and let $λ_{k}$ be the $k$ th eigenvalue of the radial Dirichlet problem on the annulus $A_{R} := {x \in R^{N} : R < ∣ x ∣ < 1}$ . For every $k \geq 1$ we constru…

math.AP2026

Stability threshold for 3D Boussinesq equations with rotation near the Couette flow and stratified temperature

Wenting Huang, Zekai Luo, Ying Sun +1

This paper examines the stability threshold at high Reynolds numbers $Re$ for the three-dimensional Boussinesq equations with rotation on the domain $Î©=\{(x,\,y,\,z)\in \…

math.AP2024

Stability of the Couette flow for 3D Navier-Stokes equations with rotation

Wenting Huang, Ying Sun, Xiaojing Xu

Rotation significantly influences the stability characteristics of both laminar and turbulent shear flows. This study examines the stability threshold of the three-dimensional Navi…

math.AP2024

On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow

Wenting Huang, Ying Sun, Xiaojing Xu

Rotation is a crucial characteristic of fluid flow in the atmosphere and oceans, which is present in nearly all meteorological and geophysical models. The global existence of solut…