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arXiv · 1801.10353

Uniqueness of axisymmetric viscous flows originating from positive linear combinations of circular vortex filaments

Guillaume Lévy·Yanlin Liu
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Abstract

Following the recent papers [9] and [10] by T. Gallay and V. \u{S}ver\'ak, in the line of work initiated by H. Feng and V. \u{S}ver\'ak in their paper [3], we prove the uniqueness of a solution of the axisymmetric Navier-Stokes equations without swirl when the initial data is a positive linear combination of Dirac masses.

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Guillaume Lévy, Yanlin Liu. 2018-01-31. Uniqueness of axisymmetric viscous flows originating from positive linear combinations of circular vortex filaments. https://doi.org/10.1007/s00021-018-0391-4

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