6 papers · 1 filter
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…