Wendong Wang

activity

20082026

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math.AP2025

Quantitative blow-up suppression for the Patlak-Keller-Segel(-Navier-Stokes) system via Couette flow on $R^{2}$

Yubo Chen, Wendong Wang, Guoxu Yang

It is well known that solutions to the Patlak--Keller--Segel system on $R^{2}$ blow up in finite time if the initial mass exceeds $8 π$ . In this paper, we investigate the mix…

math.AP2025

Stability threshold of Couette flow for Boussinesq equations in $R^{2}$

Yubo Chen, Wendong Wang, Guoxu Yang

This paper establishes the asymptotic stability threshold for the Couette flow $(y, 0)$ under the 2D Boussinesq system in $R^{2}$ . It was proved that for initial perturbation…

math.AP2025

Liouville type theorems for the fractional Navier-Stokes equations without the integrability condition of velocity in $R^{3}$

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 $R^{3}$ under some c…

Quantitative blow-up suppression for the Patlak-Keller-Segel(-Navier-Stokes) system via Couette flow on R2

Stability threshold of Couette flow for Boussinesq equations in R2

Liouville type theorems for the fractional Navier-Stokes equations without the integrability condition of velocity in R3

Quantitative blow-up suppression for the Patlak-Keller-Segel(-Navier-Stokes) system via Couette flow on $R^{2}$

Stability threshold of Couette flow for Boussinesq equations in $R^{2}$

Liouville type theorems for the fractional Navier-Stokes equations without the integrability condition of velocity in $R^{3}$