Large-time behavior and far field asymptotics of solutions to the Navier-Stokes equations
Analysis of PDEs
2018-04-06 v1
Abstract
Asymptotic expansions of global solutions to the incompressible Navier-Stokes equation as 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.
Keywords
Cite
@article{arxiv.1804.01746,
title = {Large-time behavior and far field asymptotics of solutions to the Navier-Stokes equations},
author = {Masakazu Yamamoto},
journal= {arXiv preprint arXiv:1804.01746},
year = {2018}
}