5 papers
Global Regularity for the Chemotaxis-Stokes System with Signal Consumption in
Fengqiang Shi, Wendong Wang, Guoxu Yang
In 2005, Tuval et al. introduced a continuum model for the interaction of aerobic bacteria, oxygen, and an incompressible fluid. For the associated three-dimensional chemotaxis-con…
A Critical Chemin--Lerner Regularity Criterion via One Velocity Component for the Three-Dimensional Navier--Stokes Equations
Maotuo Guo, Wendong Wang, Shiyang Xiong
We prove a scaling-critical regularity criterion involving only one velocity component for finite-energy suitable weak solutions of the three-dimensional incompressible Navier--Sto…
Critical Morrey Rigidity and Removable Singularities for Five-Dimensional Stationary Navier-Stokes Flows
Yubo Chen, Wendong Wang, Xiao Wang +2
We prove a critical Morrey rigidity theorem for the five-dimensional stationary Navier--Stokes equations. More precisely, every smooth solution on satis…
Zero-viscosity limit of the chemotaxis-Navier-Stokes equations with the Navier-slip boundary condition
Bolun Li, Fengqiang Shi, Wendong Wang
The interplay of chemotaxis and diffusion of nutrients or signaling chemicals in bacterial suspensions can produce a variety of structures with locally high concentrations of cells…
Existence and partial regularity of suitable weak solutions to the 3D Navier-Stokes-Vlasov-Fokker-Planck equations
Renjun Duan, Fengqiang Shi, Wendong Wang +1
In this paper, we investigate the incompressible Navier-Stokes equations coupled with the Vlasov-Fokker-Planck equation, which describes a two-phase mixture of the viscous incompre…