3 papers
math.AP2024
Axisymmetric steady Navier-Stokes flows under suction
Mitsuo Higaki
We prove the existence of solutions for the axisymmetric steady Navier-Stokes system around an infinite cylinder under external forces. The solutions are constructed to be decaying…
math.AP2023
Stability of planar exterior stationary flows with suction
Mitsuo Higaki
We consider the two-dimensional Navier-Stokes system in a domain exterior to a disk. The system admits a stationary solution with critical decay written as a linear c…
math.AP2022
Existence of planar non-symmetric stationary flows with large flux in an exterior disk
Mitsuo Higaki
This paper is concerned with the two-dimensional stationary Navier-Stokes system in the domain exterior to the unit disk. The existence of solutions with critical decay $O(|x|^{-1}…