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Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity

By Paul Deuring, Stanislav Kracmar and Sarka Necasova

Abstract

We consider weak (''Leray'') solutions to the stationary Navier-Stokes system with Oseen and rotational terms, in an exterior domain. It is shown the velocity may be split into a constant times the first column of the fundamental solution of the Oseen system, plus a remainder term decaying pointwise near infinity at a rate which is higher than the decay rate of the Oseen tensor. This result improves the theory by M. Kyed, Asymptotic profile of a linearized flow past a rotating body, Q. Appl. Math. 71 (2013), 489-500.Comment: 17 page

Topics: Mathematics - Analysis of PDEs, 35Q30, 65N30, 76D05
Year: 2015
OAI identifier: oai:arXiv.org:1511.04378

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