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 -