Asymptotic Expansions for the Lagrangian Trajectories from Solutions of the Navier–Stokes Equations

Luan Hoang

doi:10.1007/s00220-020-03863-5

Asymptotic Expansions for the Lagrangian Trajectories from Solutions of the Navier–Stokes Equations

Luan Hoang

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Journal	Communications in Mathematical Physics
DOIs	https://doi.org/10.1007/s00220-020-03863-5
State	Accepted/In press - 2020

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10.1007/s00220-020-03863-5

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title = "Asymptotic Expansions for the Lagrangian Trajectories from Solutions of the Navier–Stokes Equations",

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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year = "2020",

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language = "English",

journal = "Communications in Mathematical Physics",

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AB - 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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