Author

Yu-Bo Chen

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Preprint Oct 2026

Global Existence and Partial Regularity for the Three-Dimensional Chemotaxis--Navier--Stokes System in a Half-Space

We establish endpoint partial regularity for suitable weak solutions to the three-dimensional chemotaxis--Navier--Stokes system with constant sensitivity and linear consumption in a half-space under no-slip and no-flux boundary conditions. The full space--time singular set, including its boundary part, has vanishing on...

Yu-Bo Chen, Jian-Bo Yu · 0 citations

Preprint Aug 2026

Critical Morrey Rigidity and Removable Singularities for Five-Dimensional Stationary Navier-Stokes Flows

We prove a critical Morrey rigidity theorem for the five-dimensional stationary Navier--Stokes equations. More precisely, every smooth solution on $\mathbb R^5\setminus\{0\}$ satisfying \[ \sup_{R>0}R^{-2}\int_{B_R}|u|^3\,dx<\infty \] is identically zero, up to an additive constant in the pressure. This replaces the po...

Yu-Bo Chen, Wen-Dong Wang, Xiao Wang et al. · 2 citations