11 papers
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--…
Quantitative blow-up suppression for the Patlak-Keller-Segel(-Navier-Stokes) system via Couette flow on
Yubo Chen, Wendong Wang, Guoxu Yang
It is well known that solutions to the Patlak--Keller--Segel system on blow up in finite time if the initial mass exceeds . In this paper, we investigate the mix…
Global bounded solutions of the 3D Patlak-Keller-Segel-Navier-Stokes system via Couette flow and logistic source
Shikun Cui, Lili Wang, Wendong Wang +2
As is well-known, the solutions to the Patlak-Keller-Segel system in 3D may blow up in finite time regardless of any initial cell mass. In this paper, we investigate the existence…
Stability threshold of Couette flow for Boussinesq equations in
Yubo Chen, Wendong Wang, Guoxu Yang
This paper establishes the asymptotic stability threshold for the Couette flow under the 2D Boussinesq system in . It was proved that for initial perturbation…
Liouville type theorems for the fractional Navier-Stokes equations without the integrability condition of velocity in
Wendong Wang, Guoxu Yang, Jianbo Yu
Motivated by the classification of solutions of harmonic functions, we investigate Liouville type theorems for the fractional Navier-Stokes equations in under some c…
Saint-Venant Estimates and Liouville-Type Theorems for the Stationary MHD Equation in
Jing Loong, Guoxu Yang
In this paper, we investigate a Liouville-type theorem for the MHD equations using Saint-Venant type estimates. We show that \( (u, B) \) is a trivial solution if the growth of the…
Liouville type theorems for the 3D stationary MHD and Hall-MHD equations with non-zero constant vectors at infinity
Wendong Wang, Guoxu Yang
In this paper, we investigate Liouville type theorems for the three-dimensional steady-state MHD or Hall-MHD system under some asymptotic assumptions at infinity. Firstly, for the…