5 papers · 2 filters
Regular Solutions of the Stationary Navier-Stokes Equations in Arbitrarily High Dimensions
Wendong Wang, Guoxu Yang
Recently, the existence of regular solutions to the stationary incompressible Navier--Stokes equations on with bounded compactly supported forces for $5\l…
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…
New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations
Wendong Wang, Guoxu Yang
The Liouville problem for the three-dimensional stationary Navier--Stokes equations remains open, even for axisymmetric \(D\)-solutions. In this paper, we obtain two results based…
Global bounded solutions for a class of generalized Hillen-Painter models near Couette flow in
Yubo Chen, Wendong Wang, Guoxu Yang +1
We investigate the global well-posedness of a class of generalized Hillen--Painter systems -- specifically, supercritical volume-filling chemotaxis models -- in unde…
Blow-up suppression for the nematic liquid crystal flow via Couette flow on
Yubo Chen, Wendong Wang, Juncheng Wei +1
As is well known, for the harmonic heat flow or liquid crystal flow in two-dimension, the solution may blow up when the initial energy is greater than . Motivated by Lai--Lin--…