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- W2891024533 abstract "Abstract We consider solutions of the Navier‐Stokes equations in 3d with vortex filament initial data of arbitrary circulation, that is, initial vorticity given by a divergence‐free vector‐valued measure of arbitrary mass supported on a smooth curve. First, we prove global well‐posedness for perturbations of the Oseen vortex column in scaling‐critical spaces. Second, we prove local well‐posedness (in a sense to be made precise) when the filament is a smooth, closed, non‐self‐intersecting curve. Besides their physical interest, these results are the first to give well‐posedness in a neighborhood of large self‐similar solutions of 3d Navier‐Stokes, as well as solutions that are locally approximately self‐similar. © 2023 Wiley Periodicals LLC." @default.
- W2891024533 created "2018-09-27" @default.
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- W2891024533 date "2023-03-24" @default.
- W2891024533 modified "2023-09-27" @default.
- W2891024533 title "Vortex Filament Solutions of the Navier‐Stokes Equations" @default.
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- W2891024533 doi "https://doi.org/10.1002/cpa.22091" @default.
- W2891024533 hasPublicationYear "2023" @default.
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