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arXiv · 2302.12557

Time evolution of the Navier-Stokes flow in far-field

Masakazu Yamamoto
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Abstract

Asymptotic expansion in far-field for the incompressive Navier-Stokes flow are established. Under moment conditions on the initial vorticity, technique of renormalization together with Biot-Savard law derives an asymptotic expansion for the velocity with high-order. Especially scalings and large-time behaviors of the expansions are clarified. By employing them, time evolution of velocity in far-field is drawn. As an appendix, asymptotic behavior of solutions as time variable tends to infinity is given.

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Masakazu Yamamoto. 2023-02-24. Time evolution of the Navier-Stokes flow in far-field. https://doi.org/10.1007/s00021-024-00904-0

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