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

详细信息    查看全文

• 作者：Paul Deuring ; Stanislav Kračmar…
• 关键词：Stationary incompressible Navier–Stokes system ; Rotating body ; Pointwise decay ; Asymptotic profile
• 刊名：Zeitschrift für angewandte Mathematik und Physik
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：68
• 期：1
• 全文大小：
• 刊物主题：Theoretical and Applied Mechanics; Mathematical Methods in Physics;
• 出版者：Springer International Publishing
• ISSN：1420-9039
• 卷排序：68

文摘

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 Kyed (Q Appl Math 71:489–500, 2013).