论文标题
来自Navier-Stokes方程解决方案的拉格朗日轨迹的渐近扩展
Asymptotic expansions for the Lagrangian trajectories from solutions of the Navier-Stokes equations
论文作者
论文摘要
考虑三维Navier-Stokes方程的任何Leray-Hopf弱解，以使其不可压缩的粘性流体流动。我们证明，随着时间的时间趋向于无穷大，与此类速度场相关的任何拉格朗日轨迹都具有渐近膨胀，这非常准确地描述了其长期行为。
Consider any Leray-Hopf weak solution of the three-dimensional Navier-Stokes equations for incompressible, viscous fluid flows. We prove that any Lagrangian trajectory associated with such a velocity field has an asymptotic expansion, as time tends to infinity, which describes its long-time behavior very precisely.
