TY - JOUR

T1 - Asymptotic Expansions for the Lagrangian Trajectories from Solutions of the Navier–Stokes Equations

AU - Hoang, Luan

N1 - Publisher Copyright:
© 2020, Springer-Verlag GmbH Germany, part of Springer Nature.

PY - 2021/4

Y1 - 2021/4

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85091121903&partnerID=8YFLogxK

U2 - 10.1007/s00220-020-03863-5

DO - 10.1007/s00220-020-03863-5

M3 - Article

AN - SCOPUS:85091121903

VL - 383

SP - 981

EP - 995

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -