On stationary Navier-Stokes flows around a rotating obstacle in two-dimensions

Abstract

We study the two-dimensional stationary Navier-Stokes equations describing the flows around a rotating obstacle. The unique existence of solutions and their asymptotic behavior at spatial infinity are established when the rotation speed of the obstacle and the given exterior force are sufficiently small.

to appear, ARMA

References in corpus (2)

• Asymptotic structure of steady Stokes flow around a rotating obstacle in two dimensions
• On the two-dimensional steady Navier-Stokes equations related to flows around a rotating obstacle

Cited by in corpus (4)

• On the two-dimensional steady Navier-Stokes equations related to flows around a rotating obstacle
• On the asymptotic structure of steady Stokes and Navier-Stokes flows around a rotating two-dimensional body
• Note on the stability of planar stationary flows in an exterior domain without symmetry
• Existence of the stationary Navier-Stokes flow in ${\mathbb{R}}^2$ around a radial flow