On the small rigid body limit in 3D incompressible flows

نویسندگان

چکیده

We consider the evolution of a small rigid body in an incompressible viscous fluid filling whole space. The motion is modelled by Navier-Stokes equations, whereas described conservation law linear and angular momentum. Under assumption that diameter tends to zero density goes infinity, we prove solution fluid-rigid system converges equations full space without body.

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ژورنال

عنوان ژورنال: Journal of the London Mathematical Society

سال: 2021

ISSN: ['1469-7750', '0024-6107']

DOI: https://doi.org/10.1112/jlms.12443