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math.AP2026
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-…
math.AP2025
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…
math.AP2025
On the sharp critical mass threshold for the 3D Patlak-Keller-Segel-Navier-Stokes system via Couette flow
Shikun Cui, Lili Wang, Wendong Wang +1
As is well-known, the solution of the Patlak-Keller-Segel system in 3D may blow up in finite time regardless of any initial cell mass. In this paper, we are interested in the suppr…