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arXiv:2003.09749 [math.AP]AbstractReferencesReviewsResources

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

Luan Hoang

Published 2020-03-21Version 1

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.

Comments: 16 pages
Categories: math.AP, math.CA, math.DS
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