3 papers
math.AP2024
Well-posedness of the two-dimensional stationary Navier--Stokes equations around a uniform flow
Mikihiro Fujii, Hiroyuki Tsurumi
In this paper, we consider the solvability of the two-dimensional stationary Navier--Stokes equations on the whole plane . In [6], it was proved that the stationary N…
math.AP2023
Ill-posedness of the two-dimensional stationary Navier--Stokes equations on the whole plane
Mikihiro Fujii
We consider the two-dimensional stationary Navier--Stokes equations on the whole plane . In the higher-dimensional cases with , the well…
math.AP2023
Counter examples for bilinear estimates related to the two-dimensional stationary Navier--Stokes equation
Mikihiro Fujii
In this paper, we are concerned with bilinear estimates related to the two-dimensional stationary Navier--Stokes equation. By establishing concrete counter examples, we prove the b…