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arXiv · 2601.04944

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

Tahar Zamène Boulmezaoud·Nabil Kerdid·Amel Kourta
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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.

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Tahar Zamène Boulmezaoud, Nabil Kerdid, Amel Kourta. 2026-01-08. On Navier-Stokes equations arising from the rotation of an obstacle in a fluid. https://arxiv.org/abs/2601.04944

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