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Mathematics > Analysis of PDEs

arXiv:1804.01746 (math)
[Submitted on 5 Apr 2018]

Title:Large-time behavior and far field asymptotics of solutions to the Navier-Stokes equations

Authors:Masakazu Yamamoto
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Abstract:Asymptotic expansions of global solutions to the incompressible Navier-Stokes equation as $t$ tends to infinity with high-order is studied and large-time behavior of the expansion is clarified. Furthermore, far field asymptotics also is derived. Those expansions are provided without moment conditions on the initial velocity. The Biot-Savard law together with the renormalization for the vorticity equations yields those expansions.
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35Q30, 35B40, 35C20, 76D05
Cite as: arXiv:1804.01746 [math.AP]
  (or arXiv:1804.01746v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.01746

Submission history

From: Masakazu Yamamoto [view email]
[v1] Thu, 5 Apr 2018 09:27:37 UTC (21 KB)
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