Work

Axisymmetric steady Navier–Stokes flows under suction

Year: 2025

Type: article

Abstract: 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 at the horizontal infinity, despite an analogue of the Stokes paradox for the linearized system, and having neither periodicity nor decay in the vertical direction. The proof is based on perturbation of the nonlinear system around a suction flow. The class of functions in this paper, which is a subspace of the space of Fourier transformed vector finite Radon measures, is inspired by Giga-Saal (2013) treating rotating boundary layers.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-025-02998-4

Author: Mitsuo Higaki

Institution: Kobe University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Kobe University, Japan Society for the Promotion of Science