On Navier-Stokes equations arising from the rotation of an obstacle in a fluid

Tahar Zamène Boulmezaoud; Nabil Kerdid; Amel Kourta

doi:10.48550/arxiv.2601.04944

On Navier-Stokes equations arising from the rotation of an obstacle in a fluid

arXiv (Cornell University) 2026 Preprint Open access

Read full text

Authors: Tahar Zamène Boulmezaoud, Nabil Kerdid, Amel Kourta

DOI: 10.48550/arxiv.2601.04944

Cited by: 0

Abstract

We consider the modified Navier-Stokes equations in R3 describing the motion of a fluid in the presence of a rotating rigid body. Weighted Sobolev spaces are used to describe the behavior of solutions at large distances. Under suitable assumptions, w e prove the existence and regularity of solutions satisfying appropriate conditions at infinity.

Fields of Study & Subjects

Navier-Stokes equation solutions Fluid dynamics and aerodynamics studies Nonlinear Partial Differential Equations

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 8 January 2026
Document type: Preprint