论文标题
关于Navier-Stokes方程的时间周期性解决方案的空间渐近结构
On the spatially asymptotic structure of time-periodic solutions to the Navier-Stokes equations
论文作者
论文摘要
研究了三维整个空间中具有漂移项的Navier-Stokes方程弱的时间周期溶液的渐近行为。速度场被分解为时间独立的和剩余的部分，并为零件及其梯度得出了单独的渐近膨胀。有人观察到，空间无穷大的行为由相应的Oseen基本解决方案确定。
The asymptotic behavior of weak time-periodic solutions to the Navier-Stokes equations with a drift term in the three-dimensional whole space is investigated. The velocity field is decomposed into a time-independent and a remaining part, and separate asymptotic expansions are derived for both parts and their gradients. One observes that the behavior at spatial infinity is determined by the corresponding Oseen fundamental solutions.
