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arXiv · 2003.09749

Asymptotic expansions for the Lagrangian trajectories from solutions of the Navier-Stokes equations

Luan Hoang
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Abstract

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.

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Luan Hoang. 2020-03-21. Asymptotic expansions for the Lagrangian trajectories from solutions of the Navier-Stokes equations. https://doi.org/10.1007/s00220-020-03863-5

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