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math.AP2023
Suppression of blow-up in Patlak-Keller-Segel-Navier-Stokes system via the Poiseuille flow
Hao Li, Zhaoyin Xiang, Xiaoqian Xu
In this paper, we investigate the two-dimensional Patlak-Keller-Segel-Navier-Stokes system perturbed around the Poiseuille flow and show that the solutions to thi…
math.AP2023
Existence of weak solutions to -Navier-Stokes equations
Yuanyuan Feng, Lei Li, Jian-Guo Liu +1
We study the existence of weak solutions to the -Navier-Stokes equations with a symmetric -Laplacian on bounded domains. We construct a particular Schauder basis in $W_0^{1,p…