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arXiv · 2005.13268

On the spatially asymptotic structure of time-periodic solutions to the Navier-Stokes equations

Thomas Eiter
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Abstract

The asymptotic behavior of weak time-periodic solutions to the Navier-Stokes equations with a drift term in the three-dimensional whole space is investigated. The velocity field is decomposed into a time-independent and a remaining part, and separate asymptotic expansions are derived for both parts and their gradients. One observes that the behavior at spatial infinity is determined by the corresponding Oseen fundamental solutions.

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Thomas Eiter. 2020-05-27. On the spatially asymptotic structure of time-periodic solutions to the Navier-Stokes equations. https://arxiv.org/abs/2005.13268

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