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

作者：Deuring Paul^*; Kracmar Stanislav; Necasova Sarka

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2017, 68(1): 16.

DOI：10.1007/s00033-016-0760-x

• Stationary incompressible Navier-Stokes system
• Rotating body
• Pointwise decay
• Asymptotic profile

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).

• 出版日期2017-2