A refined uniqueness result of Leray's problem in an infinite-long pipe with the Navier-slip boundary

Zijin Li, Ning Liu, Taoran Zhou

We consider the generalized Leray's problem with the Navier-slip boundary condition in an infinite pipe $\mathcal{D}=\Sigma \times \mathbb{R}$. We show that if the flux $\Phi$ of the solutio…