Sur les équations de Navier-Stokes issues de la rotation d’un obstacle dans un fluide

HAL (Le Centre pour la Communication Scientifique Directe) 2026 Preprint Open access

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Authors: Tahar Zamène Boulmezaoud, Nabil Kerdid, Amel Kourta
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
HAL (Le Centre pour la Communication Scientifique Directe)
Publication date
1 January 2026
Language
EN
Document type
Preprint