On the two-dimensional steady Navier-Stokes equations related to flows around a rotating obstacle

2017/03/21 by Mitsuo Higaki, Higaki, Mitsuo, Yasunori Maekawa +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1703.07372

openalex publication_date 2017/03/21 · openalex created_date 2017/05/12 · openalex updated_date 2026/07/28

Abstract

We study the two-dimensional stationary Navier-Stokes equations with rotating effect in the whole space. The unique existence and the asymptotics of solutions are obtained without the smallness assumption on the rotation parameter.

Related

• On stationary two-dimensional flows around a fast rotating disk
• Vanishing viscosity limit of the 2D stationary Navier-Stokes equations outside a rotating disc and its application
• Well-posedness of the two-dimensional stationary Navier--Stokes equations around a uniform flow
• On the stationary Navier-Stokes flow with isotropic streamlines in all latitudes on a sphere or a 2D hyperbolic space
• On the asymptotic behavior of solutions to the steady Navier-Stokes system in two-dimensional channels