| Popis: |
We consider weak solutions to the stationary Navier–Stokes system with Oseen and rotational terms, in an exterior domain. We are interested in the leading term for the velocity field and its gradient. Moreover, we deal with the asymptotic behavior at infinity. We proved that the velocity may be split, within constants, into the first column of the fundamental solution to 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 proposed by M. Kyed [Asymptotic profile of a linearized flow past a rotating body, Q. Appl. Math. 71 (2013) 489–500; On the asymptotic structure of a Navier–Stokes flow past a rotating body, J. Math. Soc. Jpn. 66 (2014) 1–16]. |
