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

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.

preprint2020arXivOpen access
Thomas Eiter
math.AP
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Thomas Eiter

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